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Bright and Dark Polar Deposits on Mercury: Evidence for Surface
                               Volatiles
                               Gregory A. Neumann et al.
                               Science 339, 296 (2013);
                               DOI: 10.1126/science.1229764



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REPORTS
       4. O. Gasnault et al., Geophys. Res. Lett. 28, 3797                28. W. C. Feldman et al., Science 281, 1496 (1998).                       much shorter than impact gardening processes (35).
          (2001).                                                         29. There is observational and thermal modeling evidence                  Thus, the emplacement times implied by the neutron
       5. W. C. Feldman et al., Geophys. Res. Lett. 34, L05201                that a limited fraction of the area of permanent shadow               data represent an upper limit.
          (2007).                                                             and radar-bright regions contain surficial water ice
       6. J. O. Goldsten et al., Space Sci. Rev. 131, 339 (2007).             (23, 30). The neutron data, however, do not have the             Acknowledgments: We thank the MESSENGER team
       7. D. J. Lawrence et al., Planet. Space Sci. 59, 1665 (2011).          spatial resolution to distinguish regions of surface ice         for their contributions to the development and operation
       8. Supplementary online material describes the full NS data            from the larger areas of shallowly buried ice. Furthermore,      of the spacecraft, P. G. Lucey and two anonymous
          reduction and analysis.                                             multiwavelength radar studies (2) suggest that polar             reviewers for comments that improved the manuscript,
       9. D. J. Lawrence et al., Icarus 209, 195 (2010).                      deposits in the three largest north polar craters [Chesterton,   D. Delapp and D. Seagraves of Los Alamos National
      10. W. C. Feldman et al., Nucl. Instrum. Methods A245, 182              Tolkien, and Tryggvadóttir (2)] that make a large                Laboratory for early help in the data reduction and
          (1986).                                                             contribution to the overall neutron signal are, on average,      calibration, respectively, and D. Hurley for discussions
      11. L. R. Nittler et al., Science 333, 1847 (2011).                     buried beneath a thin cover of dry soil or other                 regarding surface modification models. This work was
      12. P. N. Peplowski et al., Science 333, 1850 (2011).                   comparatively ice-poor material.                                 supported by the NASA Discovery Program, with
      13. S. Z. Weider et al., J. Geophys. Res. 117, E00L05 (2012).       30. G. A. Neumann et al., Science 339, 296 (2013);                   funding for MESSENGER provided under contract
      14. P. N. Peplowski et al., J. Geophys. Res. 117, E00L04 (2012).        10.1126/science.1229764.                                         NAS5-97271 to The Johns Hopkins University Applied
      15. L. G. Evans et al., J. Geophys. Res. 117, E00L07 (2012).        31. N. L. Chabot et al., J. Geophys. Res. 10.1029/2012JE004172       Physics Laboratory and NASW-00002 to the Carnegie
      16. J. W. Head et al., Science 333, 1853 (2011).                        (2012).                                                          Institution of Washington. Several authors are
      17. T. H. Prettyman et al., Science 338, 242 (2012).                32. N. L. Chabot et al., Geophys. Res. Lett. 39, L09204              supported by NASA’s MESSENGER Participating Scientist
      18. S. Maurice et al., J. Geophys. Res. 105, 20365 (2000).              (2012).                                                          Program. All original data reported in this paper are
      19. S. Maurice et al., J. Geophys. Res. 116, E11008 (2011).         33. A. L. Sprague, D. M. Hunten, K. Lodders, Icarus 118, 211         archived by the NASA Planetary Data System.
      20. G. C. Ho et al., Science 333, 1865 (2011).                          (1995).
      21. R. C. Little et al., J. Geophys. Res. 108, 5046 (2003).         34. L. Starukhina, L. V. Starukhina, Y. G. Shkuratov, Icarus
                                                                                                                                               Supplementary Materials




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      22. D. J. Lawrence et al., J. Geophys. Res. 111, E08001 (2006).         147, 585 (2000).
      23. D. A. Paige et al., Science 339, 300 (2013); 10.1126/           35. D. Crider, R. M. Killen, Geophys. Res. Lett. 32, L12201          www.sciencemag.org/cgi/content/full/science.1229953/DC1
          science.1231106.                                                    (2005).                                                          Supplementary Text
      24. D. J. Lawrence et al., Geophys. Res. Lett. 32, L07201 (2005).   36. B. J. Butler, D. O. Muhleman, M. A. Slade, J. Geophys.           Figs. S1 to S23
      25. J. J. Hagerty et al., J. Geophys. Res. 111, E06002 (2006).          Res. 98, 15003 (1993).                                           Tables S1 to S4
      26. T. D. Glotch et al., Geophys. Res. Lett. 38, L21204 (2011).     37. J. I. Moses, K. Rawlins, K. Zahnle, L. Dones, Icarus 137,        References (40–51)
      27. W. D. Carrier III, G. R. Olhoeft, W. Mendell, in Lunar              197 (1999).
          Sourcebook: A User’s Guide to the Moon, G. Heiken,              38. B. J. Butler, J. Geophys. Res. 102, 19283 (1997).                10 September 2012; accepted 13 November 2012
          D. Vaniman, B. M. French, Eds. (Cambridge Univ. Press,          39. The surface modification models do not account for               Published online 29 November 2012;
          1991), pp. 475–594.                                                 thermal effects (23) that can operate on time scales             10.1126/science.1229953



                                                                                                                                               sits of nearly pure water ice up to several meters
      Bright and Dark Polar Deposits                                                                                                           thick lie at or near the surface. Analysis of al-
                                                                                                                                               timetry and roughness measurements from the
      on Mercury: Evidence for                                                                                                                 Mercury Laser Altimeter (MLA) (10, 11) on the
                                                                                                                                               MErcury Surface, Space ENvironment, GEoche-
      Surface Volatiles                                                                                                                        mistry, and Ranging (MESSENGER) spacecraft
                                                                                                                                               (12) indicates that craters hosting radar-bright de-
                                                                                                                                               posits at high northern latitudes are not anom-
      Gregory A. Neumann,1* John F. Cavanaugh,1 Xiaoli Sun,1 Erwan M. Mazarico,2                                                               alously shallow, nor do they display distinctive
      David E. Smith,2 Maria T. Zuber,2 Dandan Mao,3 David A. Paige,4 Sean C. Solomon,5,6                                                      roughness properties in comparison with craters
      Carolyn M. Ernst,7 Olivier S. Barnouin7                                                                                                  that lack such deposits (13). Consequently, the
                                                                                                                                               radar-bright material does not form a thick layer
      Measurements of surface reflectance of permanently shadowed areas near Mercury’s north pole                                              overlying regolith (13). A thinner surficial layer
      reveal regions of anomalously dark and bright deposits at 1064-nanometer wavelength. These                                               containing substantial concentrations of ice would,
      reflectance anomalies are concentrated on poleward-facing slopes and are spatially collocated with                                       however, be optically brighter than the surround-
      areas of high radar backscatter postulated to be the result of near-surface water ice. Correlation of                                    ing terrain (14) and should be detectable by ac-
      observed reflectance with modeled temperatures indicates that the optically bright regions are                                           tive remote sensing.
      consistent with surface water ice, whereas dark regions are consistent with a surface layer of                                               We report here measurements with MLA of
      complex organic material that likely overlies buried ice and provides thermal insulation. Impacts                                        surface reflectance in permanently shadowed north
      of comets or volatile-rich asteroids could have provided both dark and bright deposits.                                                  polar regions of Mercury. The MLA instrument
                                                                                                                                               illuminates surface spots 20 to 80 m in diameter
                ercury’s near-zero obliquity and impact-                  vective or conductive sources of heat, the perma-                    at 350- to 450-m intervals (10). The receiver sys-

      M         roughened topography (1) prevent di-
                rect sunlight from reaching substantial
      portions of its polar regions. Lacking major con-
                                                                          nently shadowed, near-surface regolith experiences
                                                                          temperatures similar to those of the icy Galilean
                                                                          satellites (2). It has long been believed on theo-
                                                                                                                                               tem measures threshold-crossing times of the
                                                                                                                                               received pulse waveforms at two voltages (15).
                                                                                                                                               A single low-threshold crossing provides sur-
                                                                          retical grounds that such conditions are favor-                      face elevation, and the timing of the rising and
      1
        NASA Goddard Space Flight Center, Code 698, Greenbelt,            able to the accumulation of volatiles (3, 4). Even                   falling signal levels for strong returns at both
      MD 20771, USA. 2Department of Earth, Atmospheric, and               with Mercury’s close proximity to the Sun, ex-                       low and high thresholds enables MLA to esti-
      Planetary Sciences, Massachusetts Institute of Technology,
                                                                          tremes of daytime temperature are not expected                       mate the received pulse energy and make active
      Cambridge, MA 02139, USA. 3Sigma Space Corporation,
      Lanham, MD 20706, USA. 4Department of Earth and Space               to penetrate regolith to substantial depth, allow-                   measurements of surface reflectance, rs, via the
      Sciences, University of California, Los Angeles, CA 90095, USA.     ing near-surface water ice, if present, to remain                    lidar link equation (16, 17) and preflight sensor
      5
       Department of Terrestrial Magnetism, Carnegie Institution of       stable against sublimation for billions of years                     calibrations (10).
      Washington, Washington, DC 20015, USA. 6Lamont-Doherty              (2). Such hypotheses were renewed when Earth-                            During its primary mapping mission, MES-
      Earth Observatory, Columbia University, Palisades, NY 10964,
      USA. 7The Johns Hopkins Applied Physics Laboratory, Laurel,         based radar observations of Mercury, at wave-                        SENGER orbited Mercury in an eccentric orbit
      MD 20723, USA.                                                      lengths from 3.6 to 70 cm (5–9), revealed regions                    with a 12-hour period and a ~200- to 400-km
      *To whom correspondence should be addressed. E-mail:                of high backscatter and depolarization at both                       periapsis altitude at 60° to 70°N. In this orbit,
      gregory.a.neumann@nasa.gov                                          poles. Radar observations suggested that depo-                       the MLA ranged to Mercury from 29 March 2011


296                                                     18 JANUARY 2013                 VOL 339           SCIENCE            www.sciencemag.org
REPORTS
to 16 April 2012, densely sampling the north                    A map of radar cross section in the north           RB region behind its steep (17° slope) north-
polar region in nadir mode northward to 83.5°N              polar region at S-band (12.6-cm wavelength) (9)         facing wall, just south of 85°N (Fig. 1B). With a
and sparsely in off-nadir mode at more norther-             (Fig. 1B) shows many regions of high backscat-          depth-to-diameter ratio of 0.025, typical for a
ly latitudes (Fig. 1A) (1). More than 4 million             ter cross section; other such regions extend be-        complex crater of this size, only a portion of its
topographic and 2 million reflectance measure-              yond the limits of the map to latitudes as low as       floor can lie in permanent shadow, consistent
ments were collected at latitudes greater than              67°N. The polarization characteristics of these         with the shape of the RB region. An unnamed
65°N in the first year of mapping. Of 700 orbital           regions are suggestive of cold-trapped volatiles        1.5-km-deep, 18-km-diameter crater “Z” lies on
profiles, 60 targeted latitudes higher than 84°N            (5, 6, 18). These radar-bright (RB) features gen-       the central floor of Prokofiev and is RB. The
with off-nadir ranges, some yielding energy mea-            erally coincide with high-latitude, steep-walled        62-km-diameter crater Kandinsky (formerly “J”)
surements and some not (fig. S1). Orbital geome-            craters of which the southern floors are perma-         to the north has a nearly circular RB region (Fig.
try and power and thermal constraints precluded             nently shadowed from direct sunlight because of         1B). These and similar regions may now be sub-
observations of many polar craters, and measure-            Mercury’s near-zero obliquity. The largest RB           jected to illumination models that use detailed
ments of those that were accessible at oblique              features lie north of 85°N, whereas the 108-km-         polar topography (19).
incidence returned noisier measurements than at             diameter Prokofiev crater [previously given the             A plot of the maximum illumination flux over
nadir orientation.                                          informal name “K” (18)] has a crescent-shaped           10 solar days is shown in Fig. 1C. We modeled
                                                                                                                    the primary shadowing of the finite disk of the
                                                                                                                    Sun with the orbital and rotational geometry of
A                                                           B                                                       Mercury following an earlier methodology (20).
           -4        -2               0           2              0.00   0.02     0.04   0.06    0.08   0.10




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                          180˚                                                       180˚                           Zero flux corresponds to areas of near-permanent
                                                                                                                    shadow that receive only scattered light. Mercury’s
                                                                                                                    orbital eccentricity and 3:2 spin–orbit resonance
                                                                                                                    result in lower average solar flux near longitudes
                                                                                                                    of 90° and 270°E. Shallow, degraded craters and
  0˚




                                                              0˚
                                                      12




                                                                                                         12
24




                                                            24
                                                       0˚




                                                                                                              0˚
                                                                                                                    craters lying near the 0° and 180°E longitudes
                                                                                                                    of Mercury’s equatorial “hot poles” have higher
                                                                                                                    average illumination. Except for relatively fresh
                                                                                                                    craters on the northern smooth plains (1), there
                                                                                                                    are few RB features along these azimuths south
                                                                                                                    of 85°N.
                                                                                                                        The reflectance measurements binned at
                                                                                                                    1 km by 1 km resolution are shown in Fig. 1D.
30




                                                            30
                                                       ˚




                                                                                                              ˚
                                                      60




                                                                                                             60     The log-normally distributed quantity rs has a
 0˚




                                                             0˚




                                                                                                                    mean of 0.17 T 0.05 (SD), and 98% of returns
                                                                                                                    have rs < 0.3 (fig. S1). For comparison, the broad-
                                                                                                                    band geometric albedo of Mercury from space is
                           0˚                                                         0˚
                                                                                                                    0.142 (21). About 7% of returns comprise a sec-
C                                                           D                                                       ondary “MLA-dark” (MD) mode distinguished
       0        20   40          60       80     100              0.0     0.1         0.2      0.3     0.4          by rs < 0.1. This mode is seen in regions that are
                          180˚                                                       180˚                           markedly darker than their surroundings. These
                                                                                                                    regions coincide with areas where many received
                                                                                                                    pulses do not trigger at the high threshold (fig.
                                                                                                                    S2), although weak laser output, oblique inci-
  0˚




                                                              0˚
                                                      12




                                                                                                         12




                                                                                                                    dence, steep terrain, and/or extreme range, as
24




                                                            24
                                                       0˚




                                                                                                              0˚




                                                                                                                    well as low reflectivity, can lead to poor signal
                                                                                                                    recovery. The deficit of energy measurements
                                                                                                                    in many MD regions indicates that the mea-
                                                                                Kandinsky                           sured rs values are upper bounds for surface
                                                                                   Prokofiev                        albedoes that are lower by factors of 2 to 3 than
                                                                                                                    their surroundings.
                                                                                                                        Many of the MD regions are associated with
30




                                                            30
                                                        ˚




                                                                                                                ˚




                                                                                                                    polar craters containing RB material (Fig. 2).
                                                      60




                                                                                                             60
  0˚




                                                             0˚




                                                                                                                    The larger MD regions generally enclose the RB
                                                                                                                    features. MD returns lie mainly within regions of
                                                                                                                    very low peak illumination, although not neces-
                           0˚                                                         0˚                            sarily permanent shadow. The reflectance is low
Fig. 1. Maps of topography, radar cross section, solar illumination, and reflectance in polar stereo-
graphic projection southward to 75°N. Kandinsky and Prokofiev craters are outlined in three of the four             Table 1. Classification of 175 craters according
panels. (A) Topography (color scale in km) and shaded relief; the datum is a sphere of radius 2440 km.              to radar and optical characteristics of associated
(B) Earth-based radar image (9) displayed as a dimensionless radar cross section per unit area. (C) Maximum         deposits.
incident solar flux over a 10-year period as a percentage of the solar constant at 1 astronomical unit
(AU) from an illumination model. The red box outlines the region shown in Fig. 2. (D) The 1064-nm                           MLA      MLA       MLA       MLA
                                                                                                                    Radar
bidirectional reflectance from MLA low- and high-threshold measurements in near-nadir directions,                           dark bright/mixed normal undetermined
median-averaged in 1 km–by–1 km bins. At latitudes poleward of 84°N, MLA obtained only a limited                    Bright 96          9          0           24
number of off-nadir profiles, and the projected reflectance data in this region are interpolated by a
                                                                                                                    Dark 28            0          15          3
nearest-neighbor weighted average only within 2 km of data whose incidence angles were less than 10°.


                                               www.sciencemag.org         SCIENCE           VOL 339    18 JANUARY 2013                                                    297
REPORTS
      over the southern floors and the northward-facing              lar outline. The correspondence of dark material             (b5 and f5) (Fig. 2 and fig. S3) are relatively
      walls of virtually all craters at latitudes between            with pole-facing slopes and the lack of such dark-           pristine (>1 km deep), so their interiors may not
      75° and 84°N. Darkening also occurs on some                    ening in most craters southward of 70°N ap-                  be visible to Earth-based radar. Twelve such craters
      poleward-facing exterior rim slopes of craters in              pears to rule out instrumental effects or observational      are <14 km in diameter. Those craters with MD
      the otherwise smooth plains within the 320-km-                 geometry as a cause of the surficial darkening.              material that lack a RB signature and are 14 km
      diameter Goethe basin. Such darkening extends                       To assess the relations between MLA-dark                or larger in diameter are at latitudes south of
      into regions that are partially illuminated.                   features, RB deposits, and illumination, we ex-              80°N. As with the RB regions, MLA-dark de-
          The asymmetric distribution of MD regions                  amined (22) 175 regions of low illumination iden-            posits are more prevalent near 90° and 270°E,
      with respect to terrain slope direction does not               tified as lying within craters varying in size from          longitudes that receive less average illumina-
      simply result from observing geometry, surface                 ~7 to 108 km in diameter (23) and from 65°N                  tion as a result of Mercury’s spin-orbit reso-
      roughness, or the magnitude of the surface slope.              poleward (Table 1). All craters with RB deposits             nance and eccentric orbit, and in fresh craters
      The pulses returning from the MD portions are                  and sufficient MLA sampling show at least some               on the smooth plains. At latitudes north of 75°N,
      not noticeably wider or narrower than those from               MD features in their poleward-facing portions.               15 similar shadowed regions (putatively small
      the illuminated portions, nor do equator-facing por-           Of 128 RB craters with RB deposits, 96 contain               craters) with neither a RB signature nor MD
      tions of the floor show lower reflectance. If surface          collocated MD portions, whereas there are 28                 material are located mainly on an elevated area
      slope or roughness were causing reduced energy                 additional craters with MD material that lack a              surrounding Purcell crater between longitudes
      return, the darker regions would have a circu-                 corresponding RB signature. Two such craters                 170° and 230°E. Radar coverage may be partial-




                                                                                                                                                                                               Downloaded from www.sciencemag.org on January 23, 2013
       A                                                pct         B                                                                  C                                           rs
                                                              100                                                         0.10                                                           0.4
                                                                              b5
                                                                                                          f5
                                                              80                                                          0.08
                                                                                                         Yoshikawa                                                                       0.3
                                                                                                                                 120
                                                              60                         e5                               0.06
                                                                                                                                                                                         0.2
                                                              40                                                          0.04
                                                                                                   c5                            80
                                                                                         g5                                                                                              0.1
                                                              20                                                          0.02

                                                              0                                                           0.00                                                           0.0
      250           300            350            400               250            300             350              400            250           300           350           400
                            km                                                                km                                                        km
      Fig. 2. Regional view of the area outlined in Fig. 1, in polar stereographic                  area. The projected radar map (9) has been shifted by 4 km to account for
      projection. Red circles show the outlines of six craters. (A) Maximum incident solar          differences in projection and to achieve optimal registration with the MLA-based
      flux, as a percentage of the solar constant at 1 AU. (B) Radar cross-section per unit         maps. Regions of interest (22) are labeled. (C) MLA reflectance (colored dots).


      A                                                                                                        B    -2
                                                                                                                                                                                   1.0
                                                                                                                    -3
                                                                                                               km




                                                                                                                    -4
                                                                                                                    -5                                                             0.5
                                                                                                                    -6




                                                                                                                                                                                        rs
                                                                                                                    -7
                                                                                                                                                                                   0.0

                                                                                                               C
                                                                                                                    -2
                                                                                                                                                                                   1.0
                                                                                                                    -3
                                                                                                               km




                                                                                                                    -4
                                                                                                                    -5                                                             0.5
                                                                                                                    -6
                                                                                                                    -7
                                                                                                                                                                                   0.0
                                                                                                                                                                                        rs

                                                                                                               D
                                                                                                                    -2
                                                                                                                                                                                   1.0
                                                                                                                    -3
                                                                                                               km




                                                                                                                    -4
                                                                                                                    -5                                                             0.5
                                                                                                                    -6
                                                                                                                                                                                        rs




                                                                                                                    -7
                                                                                                                                                                                   0.0
                                                                                                                                  -50             0             50
                                                                                                                                           Distance (km)
      Fig. 3. (A) MLA reflectance measurements (colored dots) of the north polar                    height (black lines) and reflectance (red dots) through Prokofiev acquired on
      region from longitude 0° to 90°E and latitude 82.5° to 90°N. Background is                    22 through 24 March 2012 starting at 0308 UTC on each day, at a 5° to 7°
      a mosaic of MDIS (34) frames at different illumination geometries and has a                   nadir angle. Vertical exaggeration is 10:1. The profiles are centered at
      nonlinear contrast stretch for visibility. Three profiles through Prokofiev (b-b′,            longitude 60°E and traverse the poleward-facing wall of Prokofiev crater in
      c-c′, and d-d′) were acquired at near-nadir orientation. Profiles through                     an approximate west-to-east direction. The blue lines show the modeled
      Kandinsky were acquired at ~30° off-nadir orientation. (B to D) Profiles of                   extent of low average solar flux (<50 W m−2 or <0.04 of terrestrial).


298                                              18 JANUARY 2013                   VOL 339         SCIENCE          www.sciencemag.org
REPORTS
ly obscured by rough terrain in this sector, but the    pothesis that water ice is exposed at the surface                   10. J. F. Cavanaugh et al., Space Sci. Rev. 131, 451 (2007).
lack of RB features more likely has a thermal           in areas where surface temperatures are never                       11. The MLA is a time-of-flight laser range finder that
                                                                                                                                uses direct detection and pulse-edge timing to determine
origin at these “hot pole” longitudes in locations      sufficiently high for substantial loss by subli-                        precisely the range from the MESSENGER spacecraft to
where partial illumination might preclude stabil-       mation. The surface measurements are aver-                              Mercury’s surface. MLA’s laser transmitter emits 6-ns-long
ity of near-surface water ice (fig. S4).                ages over footprints that are dozens of meters                          pulses at an 8-Hz rate with 20 mJ of energy at a wavelength
    Although the MLA-dark regions are more              in extent and could represent a thin or unevenly                        of 1064 nm. Return echoes are collected by an array
                                                                                                                                of four refractive telescopes and are detected with a
abundant and extensive than RB regions, there           distributed layer of optically bright material                          single silicon avalanche photodiode detector. The timing
are at least nine areas within the largest RB re-       that has not been covered by dust or regolith.                          of laser pulses is measured with a set of time-to-digital
gions at very high latitudes in which the MLA           However, to the extent that MLA-bright and                              converters linked to a crystal oscillator for which the
reflectances are optically bright. The nine cra-        RB characteristics are sampling the same ma-                            frequency is monitored from Earth.
                                                                                                                            12. S. C. Solomon, R. L. McNutt Jr., R. E. Gold, D. L. Domingue,
ters hosting RB material, at latitudes between          terial, the associated deposits must have a thick-                      Space Sci. Rev. 131, 3 (2007).
82.5° and 88.5°N, have portions with rs > 0.3           ness of at least several meters. The reflectance                    13. M. J. Talpe et al., J. Geophys. Res. 117, E00L13
as well as areas that are anomalously dark or           measurements presented here strongly suggest                            (2012).
that return no reflectance measurements. The            that one of the largest and deepest regions of                      14. G. B. Hansen, T. B. McCord, J. Geophys. Res. 109, E01012
                                                                                                                                (2004).
two most prominent such craters are north of            permanent shadow in crater Prokofiev is a host
                                                                                                                            15. The MLA measures the threshold crossing times of the
84.9°N latitude.                                        for water ice deposits exposed at the surface.                          received pulses at two discriminator voltages simultaneously,
    Craters Kandinsky and Prokofiev, for which               The existence of these dark and bright sur-                        a low threshold for maximum sensitivity and a threshold
high radar cross sections suggest thick, near-          faces and their association with topography in-                         about twice as high to give four sample points of the




                                                                                                                                                                                                        Downloaded from www.sciencemag.org on January 23, 2013
surface ice deposits (18), are shown in Fig. 3.         dicates that their formation processes operated                         received pulse waveform. A laser pulse may result in
                                                                                                                                triggers at one or both thresholds or not at all. Ranging
Their regions of permanent shadow (Fig. 1C)             during geologically recent times and may be                             with low-threshold detections is possible at ranges up
have many reflectance values in excess of 0.3           active on Mercury today. The rates of darkening                         to 1500 km, but steady returns that cross both low and
(pink or white symbols), especially along the           and brightening must be higher than those for                           high thresholds are obtained mostly at altitudes less
southern portion of Prokofiev. Three profiles           processes that act to homogenize surface reflec-                        than ~600 km and with near-nadir (<20°) incidence.
                                                                                                                                When a pulse is detected by a pair of discriminators, its
crossing the RB region are plotted along track in       tance, such as impact gardening. Were vertical                          energy and duration may be inferred from a model
Fig. 3, B to D. Profile 3B grazed the uppermost         mixing by impact gardening dominant at the                              waveform that accounts for the dispersion in time of
kilometer of the crater wall and recorded no            meter scale, we would expect that the polar de-                         return pulses as a result of surface slope and/or
high-threshold detections in regions of shadow.         posits would have reflectance values (and radar                         roughness. To estimate the pulse energy, we adopted a
                                                                                                                                simple triangular model that fits the rising and falling
Profile 3C passed 2 km into the interior along          backscatter characteristics) more similar to those                      edges of the trigger at each threshold. This model
the north-facing wall and shows many strongly           of surrounding terrain.                                                 generates values nearly equal to a Gaussian model for
reflective returns (red symbols) up to the edges             Detailed thermal models (25) suggest that                          well-constrained pulses. Energy is a nonlinear function
of the crater, where such returns dropped out for       surface temperatures in the majority of the high-                       of pulse timing measurements and tends to have a
                                                                                                                                long-tailed or approximate log-normal distribution, as
several seconds. Profile 3D reached portions of         latitude craters with RB deposits that MLA has
                                                                                                                                illustrated in the supplementary materials.
the crater floor that are in permanent shadow           observed to date are too warm to support per-                       16. C. S. Gardner, IEEE Trans. Geosci. Rem. Sens. 30, 1061
and recorded variable reflectance. These profiles       sistent water ice at the surface, but the temper-                       (1992).
are the only ones to date obtained over the shad-       atures in their shadowed areas are compatible                       17. The lidar link equation is Erx = Etxhr(Ar/R2)(rs/p), where
owed interior of Prokofiev at the relatively small      with the presence of surficial dark organic ma-                         Erx is the received signal pulse energy, Etx is the
                                                                                                                                transmitted laser pulse energy, hr is the receiver optics
incidence angles (6° to 7°) for which reflectance       terial. Modeled subsurface temperatures in these                        transmission, Ar is the receiver telescope aperture area,
measurements are most reliable. Two profiles            dark regions are permissive of stable water ice                         R is range, and rs is the target surface reflectivity (relative
nearest to crater Z (Fig. 3A) also include re-          beneath a ~10-cm-thick layer of thermally in-                           to Lambertian). The ratio rs of reflected energy to incoming
turns with rs > 0.3, as do several traversing           sulating material. In contrast, thermal modeling                        energy (i.e., irradiance/solar flux, often simply written
                                                                                                                                I/F) would be unity for a perfect diffusive reflector for
crater Kandinsky to the north, but the measure-         of the bright areas is supportive of surface water                      which the transmitter and receiver orientation are
ments are noisier owing to incidence angles             ice. This interpretation of the surface reflectance                     perpendicular to the surface. Mercury’s reflectivity at
greater than 25°.                                       at 1064 nm is fully consistent with the radar re-                       optical wavelengths normally lies in a range from 0.08
    The observations of 1064-nm reflectance from        sults as well as with neutron spectroscopic mea-                        to 0.12 (30–32), but because of the opposition effect
                                                                                                                                (33) the average 1064-nm reflectance is about 50%
laser altimetry thus fall into three categories: Most   surements of Mercury’s polar regions (26). The
                                                                                                                                higher, or about 0.17.
are typical of Mercury reflectivity as a whole; a       bright and dark areas can be ascribed collectively                  18. J. K. Harmon, P. J. Perillat, M. A. Slade, Icarus 149,
subset is much darker; and a smaller subset is          to the deposition of water and organic volatiles                        1 (2001).
substantially brighter. The association of MD re-       derived from the impacts of comets or volatile-                     19. The topography derived from 700 MLA profiles (29 March
gions with RB regions in near-permanent shadow          rich asteroids on Mercury’s surface and migrated                        2011 to 1 May 2012) provides a near-complete topographic
                                                                                                                                map of the northern hemisphere northward to 84°N at a
suggests that a thin, radar-transparent layer of        to polar cold traps via thermally stimulated ran-                       resolution of 0.5 km. Craters Prokofiev and Kandinsky were
optically dark material overlies and surrounds          dom walk (27–29).                                                       sampled by several off-nadir profiles, from which radial
the postulated polar ice deposits. If water ice                                                                                 averages of topography were constructed and used to fill
were present in the ground as a matrix between                                                                                  in the unsampled interior after adding pseudo-random
                                                            References and Notes                                                noise, with a root variance of 70 m, and decimating and
mineral grains, it could lower the reflectance rela-                                                                            interpolating with the blockmedian and surface programs
                                                         1. M. T. Zuber et al., Science 336, 217 (2012).
tive to dry ground but would sublimate rap-              2. A. R. Vasavada, D. A. Paige, S. E. Wood, Icarus 141, 179            of the Generic Mapping Tools (http://gmt.soest.hawaii.
idly and lose optical contrast if exposed to                (1999).                                                             edu). We modeled the average and maximum illumination
high temperatures. The presence of MD regions            3. K. Watson, B. C. Murray, H. Brown, J. Geophys. Res. 66,             conditions over a Mercury day by using an approach (20)
                                                            3033 (1961).                                                        developed to assess illumination conditions of polar
in many smaller craters without RB deposits,
                                                         4. J. R. Arnold, J. Geophys. Res. 84, 5659 (1979).                     regions of the Moon.
areas where scattered light raises average tem-          5. M. A. Slade, B. J. Butler, D. O. Muhleman, Science 258,         20. E. Mazarico, G. A. Neumann, D. E. Smith, M. T. Zuber,
peratures (2, 24), indicates the presence of vola-          635 (1992).                                                         M. H. Torrence, Icarus 211, 1066 (2011).
tiles that are both darker than water ice and            6. J. K. Harmon, M. A. Slade, Science 258, 640 (1992).             21. A. Mallama, D. Wang, R. A. Howard, Icarus 155, 253
stable to higher temperatures.                           7. B. J. Butler, D. O. Muhleman, M. A. Slade, J. Geophys. Res.         (2002).
                                                            98, 15,003 (1993).                                              22. We selected 175 representative regions of interest
    The identification of optically bright regions       8. G. J. Black, D. B. Campbell, J. K. Harmon, Icarus 209,              from maps of permanent shadow derived from MLA
associated with large RB features at the highest            224 (2010).                                                         topography, radar cross section, and MLA-dark regions,
(>84.9°N) latitudes is consistent with the hy-           9. J. K. Harmon, M. A. Slade, M. S. Rice, Icarus 211, 37 (2011).       as shown in the supplementary materials. Because



                                         www.sciencemag.org              SCIENCE            VOL 339           18 JANUARY 2013                                                                     299
REPORTS
          many craters are not resolved by MLA, we also selected            Imaging System (34) image mosaics. Locations are           32. W. E. McClintock et al., Science 321, 62 (2008).
          craters with diameters ≥7 km from MESSENGER images.               less certain for smaller features inadequately sampled     33. T. Gehrels, Astrophys. J. 123, 331 (1956).
          Smaller RB deposits were not considered because most              by MLA. Diameters of craters sampled ranged from 7 to      34. S. E. Hawkins III et al., Space Sci. Rev. 131, 247 (2007).
          appear from images to lie in small secondary craters, at          108 km, not including the 320-km-diameter Goethe
          the foot of poleward-facing scarps, or in rough terrain           basin. Not included are several degraded and partially     Acknowledgments: The MESSENGER project is supported
          and are inadequately sampled by MLA. The radar-bright             flooded craters, such as a 133-km-diameter degraded        by the NASA Discovery Program under contracts NAS5-97271
          deposits were mapped with a threshold of 0.075 in the             crater that encloses Purcell but for which the relief      to the Johns Hopkins University Applied Physics Laboratory
          MATLAB image processing toolbox and correlated with               does not create an area of permanent shadow.               and NASW-00002 to the Carnegie Institution of Washington.
          craters identified in MLA topography and MESSENGER          24.   D. A. Paige, S. E. Wood, A. R. Vasavada, Science 258,      We are grateful for the myriad of contributions from the
          images. Labels assigned in uppercase are consistent with          643 (1992).                                                MLA instrument and MESSENGER spacecraft teams and for
          previous nomenclature (15); lowercase letters and           25.   D. A. Paige et al., Science 339, 300 (2013);               comments by P. Lucey and two anonymous referees that
          numerals were assigned to provisional features. Regions           10.1126/science.1231106.                                   improved the manuscript.
          with MLA energy measurements were classified as dark,       26.   D. J. Lawrence et al., Science 339, 292 (2013);
                                                                                                                                       Supplementary Materials
          normal, or bright/mixed according to their contrast               10.1126/science.1229953.
                                                                                                                                       www.sciencemag.org/cgi/content/full/science.1229764/DC1
          in brightness with those of surround areas; gaps in         27.   B. J. Butler, J. Geophys. Res. 102, 19,283 (1997).
                                                                                                                                       Supplementary Text
          high-threshold returns were also taken to indicate darker   28.   J. A. Zhang, D. A. Paige, Geophys. Res. Lett. 36, L16203
                                                                                                                                       Figs. S1 to S5
          material. Bright regions are surrounding those for which          (2009).
                                                                                                                                       Reference (35)
          more than half of the returns have rs > 0.3.                29.   J. A. Zhang, D. A. Paige, Geophys. Res. Lett. 37, L03203
      23. Diameters of large craters were fit to the maximum MLA            (2010).                                                    5 September 2012; accepted 14 November 2012
          topographic contours of the rims, whereas the diameters     30.   T. B. McCord, J. B. Adams, Science 178, 745 (1972).        Published online 29 November 2012;
          of smaller craters were estimated from Mercury Dual         31.   F. Vilas, Icarus 64, 133 (1985).                           10.1126/science.1229764




                                                                                                                                                                                                        Downloaded from www.sciencemag.org on January 23, 2013
                                                                                                                                       estimates. On Mercury, biannual average temper-
      Thermal Stability of Volatiles in the                                                                                            atures can be interpreted as close approximations
                                                                                                                                       to the nearly constant subsurface temperatures
      North Polar Region of Mercury                                                                                                    that exist below the penetration depths of the
                                                                                                                                       diurnal temperature wave [about 0.3 to 0.5 m for
      David A. Paige,1* Matthew A. Siegler,1,2 John K. Harmon,3 Gregory A. Neumann,4                                                   ice-free regolith, and several meters for ice-rich
      Erwan M. Mazarico,4 David E. Smith,5 Maria T. Zuber,5 Ellen Harju,1                                                              areas (5, 9)]. The latitudinal and longitudinal sym-
      Mona L. Delitsky,6 Sean C. Solomon7,8                                                                                            metries in surface and near-surface temperatures
                                                                                                                                       result from Mercury’s near-zero obliquity, eccen-
      Thermal models for the north polar region of Mercury, calculated from topographic measurements                                   tric orbit, and 3:2 spin-orbit resonance (11, 12).
      made by the MErcury Surface, Space ENvironment, GEochemistry, and Ranging (MESSENGER)                                                Comparison between the areal coverage of
      spacecraft, show that the spatial distribution of regions of high radar backscatter is well                                      model-calculated biannual maximum and aver-
      matched by the predicted distribution of thermally stable water ice. MESSENGER measurements                                      age temperatures and the thermal stability of a
      of near-infrared surface reflectance indicate bright surfaces in the coldest areas where water                                   range of candidate volatile species (Fig. 2) pro-
      ice is predicted to be stable at the surface, and dark surfaces within and surrounding warmer                                    vides strong evidence that Mercury’s anomalous
      areas where water ice is predicted to be stable only in the near subsurface. We propose                                          radar features are due dominantly to the presence
      that the dark surface layer is a sublimation lag deposit that may be rich in impact-derived                                      of thermally stable water ice, rather than some
      organic material.                                                                                                                other candidate frozen volatile species. Within the
                                                                                                                                       region sampled, the vast majority of locations
              arth-based radar observations have yielded                  Measurements of surface reflectance at a                     within which biannual average temperatures are

      E       maps of anomalously bright, depolarizing
              features on Mercury that appear to be lo-
      calized in permanently shadowed regions near
                                                                      wavelength of 1064 nm, made with the Mercury
                                                                      Laser Altimeter (MLA) onboard the MESSEN-
                                                                      GER (MErcury Surface, Space ENvironment,
                                                                                                                                       less than ~100 K are radar-bright, whereas for
                                                                                                                                       areas with biannual average temperatures of greater
                                                                                                                                       than 100 K there are almost no radar-bright de-
      the planet’s poles (1, 2). Observations of similar              GEochemistry, and Ranging) spacecraft, have                      posits (Fig. 2C). This distribution suggests that
      radar signatures over a range of radar wavelengths              revealed the presence of surface material that                   the radar-bright features are due to the presence
      imply that the radar-bright features correspond                 collocates approximately with radar-bright areas                 of a volatile species that is not thermally stable at
      to deposits that are highly transparent at radar                within north polar craters and that has approxi-                 temperatures higher than ~100 K. Because of the
      wavelengths and extend to depths of several me-                 mately half the average reflectance of the planet,               exponential dependence of vacuum sublimation
      ters below the surface (3). Cold-trapped water ice              as well as bright material within Kandinsky and                  loss rates with temperature, the thermal stabilities
      has been proposed as the most likely material to                Prokofiev craters that has approximately twice                   of the candidate volatile species shown in Fig. 2A
      be responsible for these features (2, 4, 5), but other          the average planetary reflectance (7). MLA mea-                  over time scales of millions to billions of years are
      volatile species that are abundant on Mercury,                  surements have also provided detailed maps of                    well separated in temperature. As shown in Fig. 2A
      such as sulfur, have also been suggested (6).                   the topography of Mercury’s north polar region                   and fig. S8, 1 mm of exposed water ice—or 1 mm
                                                                      (8). Here, we apply this information in conjunc-                 of water ice buried beneath a 10-cm-thick lag
      1
        Department of Earth and Space Sciences, University of Cali-   tion with a ray-tracing thermal model, previously                deposit—would sublimate to a vacuum in 1 billion
      fornia, Los Angeles, CA 90095, USA. 2Jet Propulsion Lab-        used to predict temperatures in the polar regions                years at temperatures of 100 to 115 K, which we
      oratory, Pasadena, CA 91109, USA. 3National Astronomy and       of Earth’s Moon (9), to calculate the thermal sta-               interpret as strong evidence that Mercury’s anom-
      Ionosphere Center, Arecibo, PR 00612, USA. 4NASA Goddard
                                                                      bility of volatile species in the north polar region             alous radar features are due dominantly to the
      Space Flight Center, Greenbelt, MD 20771, USA. 5Department
      of Earth, Atmospheric and Planetary Sciences, Massachusetts     of Mercury.                                                      presence of thermally stable water ice. If the radar-
      Institute of Technology, Cambridge, MA 02139, USA. 6Cali-           Maximum and average modeled temperatures                     bright deposits were composed primarily of a
      fornia Specialty Engineering, Flintridge, CA 91012, USA. 7De-   (10) over one complete 2-year illumination cycle                 material with a higher or lower volatility than
      partment of Terrestrial Magnetism, Carnegie Institution of      for the north polar region of Mercury are shown                  water ice, we would expect them to be thermally
      Washington, Washington, DC 20015, USA. 8Lamont-Doherty
      Earth Observatory, Columbia University, Palisades, NY 10964,    in Fig. 1, A and B. The topography model north                   stable in areas with lower or higher annual aver-
      USA.                                                            of 84°N latitude has been extrapolated from only                 age temperatures than we observe. As illustrated
      *To whom correspondence should be addressed. E-mail:            a few off-nadir data tracks, so model tempera-                   in Fig. 2, B and C, the fractional areal coverage of
      dap@moon.ucla.edu                                               tures within this circle should be taken only as                 radar-bright regions that are also just sufficiently


300                                                  18 JANUARY 2013                VOL 339          SCIENCE          www.sciencemag.org

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  • 1. Bright and Dark Polar Deposits on Mercury: Evidence for Surface Volatiles Gregory A. Neumann et al. Science 339, 296 (2013); DOI: 10.1126/science.1229764 This copy is for your personal, non-commercial use only. If you wish to distribute this article to others, you can order high-quality copies for your colleagues, clients, or customers by clicking here. Downloaded from www.sciencemag.org on January 23, 2013 Permission to republish or repurpose articles or portions of articles can be obtained by following the guidelines here. The following resources related to this article are available online at www.sciencemag.org (this information is current as of January 23, 2013 ): Updated information and services, including high-resolution figures, can be found in the online version of this article at: http://www.sciencemag.org/content/339/6117/296.full.html Supporting Online Material can be found at: http://www.sciencemag.org/content/suppl/2012/11/28/science.1229764.DC1.html A list of selected additional articles on the Science Web sites related to this article can be found at: http://www.sciencemag.org/content/339/6117/296.full.html#related This article cites 29 articles, 8 of which can be accessed free: http://www.sciencemag.org/content/339/6117/296.full.html#ref-list-1 This article has been cited by 3 articles hosted by HighWire Press; see: http://www.sciencemag.org/content/339/6117/296.full.html#related-urls This article appears in the following subject collections: Planetary Science http://www.sciencemag.org/cgi/collection/planet_sci Science (print ISSN 0036-8075; online ISSN 1095-9203) is published weekly, except the last week in December, by the American Association for the Advancement of Science, 1200 New York Avenue NW, Washington, DC 20005. Copyright 2013 by the American Association for the Advancement of Science; all rights reserved. The title Science is a registered trademark of AAAS.
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Ho et al., Science 333, 1865 (2011). (1995). 21. R. C. Little et al., J. Geophys. Res. 108, 5046 (2003). 34. L. Starukhina, L. V. Starukhina, Y. G. Shkuratov, Icarus Supplementary Materials Downloaded from www.sciencemag.org on January 23, 2013 22. D. J. Lawrence et al., J. Geophys. Res. 111, E08001 (2006). 147, 585 (2000). 23. D. A. Paige et al., Science 339, 300 (2013); 10.1126/ 35. D. Crider, R. M. Killen, Geophys. Res. Lett. 32, L12201 www.sciencemag.org/cgi/content/full/science.1229953/DC1 science.1231106. (2005). Supplementary Text 24. D. J. Lawrence et al., Geophys. Res. Lett. 32, L07201 (2005). 36. B. J. Butler, D. O. Muhleman, M. A. Slade, J. Geophys. Figs. S1 to S23 25. J. J. Hagerty et al., J. Geophys. Res. 111, E06002 (2006). Res. 98, 15003 (1993). Tables S1 to S4 26. T. D. Glotch et al., Geophys. Res. Lett. 38, L21204 (2011). 37. J. I. Moses, K. Rawlins, K. Zahnle, L. Dones, Icarus 137, References (40–51) 27. W. D. Carrier III, G. R. Olhoeft, W. Mendell, in Lunar 197 (1999). Sourcebook: A User’s Guide to the Moon, G. Heiken, 38. B. J. Butler, J. Geophys. Res. 102, 19283 (1997). 10 September 2012; accepted 13 November 2012 D. Vaniman, B. M. French, Eds. (Cambridge Univ. Press, 39. The surface modification models do not account for Published online 29 November 2012; 1991), pp. 475–594. thermal effects (23) that can operate on time scales 10.1126/science.1229953 sits of nearly pure water ice up to several meters Bright and Dark Polar Deposits thick lie at or near the surface. Analysis of al- timetry and roughness measurements from the on Mercury: Evidence for Mercury Laser Altimeter (MLA) (10, 11) on the MErcury Surface, Space ENvironment, GEoche- Surface Volatiles mistry, and Ranging (MESSENGER) spacecraft (12) indicates that craters hosting radar-bright de- posits at high northern latitudes are not anom- Gregory A. Neumann,1* John F. Cavanaugh,1 Xiaoli Sun,1 Erwan M. Mazarico,2 alously shallow, nor do they display distinctive David E. Smith,2 Maria T. Zuber,2 Dandan Mao,3 David A. Paige,4 Sean C. Solomon,5,6 roughness properties in comparison with craters Carolyn M. Ernst,7 Olivier S. Barnouin7 that lack such deposits (13). Consequently, the radar-bright material does not form a thick layer Measurements of surface reflectance of permanently shadowed areas near Mercury’s north pole overlying regolith (13). A thinner surficial layer reveal regions of anomalously dark and bright deposits at 1064-nanometer wavelength. These containing substantial concentrations of ice would, reflectance anomalies are concentrated on poleward-facing slopes and are spatially collocated with however, be optically brighter than the surround- areas of high radar backscatter postulated to be the result of near-surface water ice. Correlation of ing terrain (14) and should be detectable by ac- observed reflectance with modeled temperatures indicates that the optically bright regions are tive remote sensing. consistent with surface water ice, whereas dark regions are consistent with a surface layer of We report here measurements with MLA of complex organic material that likely overlies buried ice and provides thermal insulation. Impacts surface reflectance in permanently shadowed north of comets or volatile-rich asteroids could have provided both dark and bright deposits. polar regions of Mercury. The MLA instrument illuminates surface spots 20 to 80 m in diameter ercury’s near-zero obliquity and impact- vective or conductive sources of heat, the perma- at 350- to 450-m intervals (10). The receiver sys- M roughened topography (1) prevent di- rect sunlight from reaching substantial portions of its polar regions. Lacking major con- nently shadowed, near-surface regolith experiences temperatures similar to those of the icy Galilean satellites (2). It has long been believed on theo- tem measures threshold-crossing times of the received pulse waveforms at two voltages (15). A single low-threshold crossing provides sur- retical grounds that such conditions are favor- face elevation, and the timing of the rising and 1 NASA Goddard Space Flight Center, Code 698, Greenbelt, able to the accumulation of volatiles (3, 4). Even falling signal levels for strong returns at both MD 20771, USA. 2Department of Earth, Atmospheric, and with Mercury’s close proximity to the Sun, ex- low and high thresholds enables MLA to esti- Planetary Sciences, Massachusetts Institute of Technology, tremes of daytime temperature are not expected mate the received pulse energy and make active Cambridge, MA 02139, USA. 3Sigma Space Corporation, Lanham, MD 20706, USA. 4Department of Earth and Space to penetrate regolith to substantial depth, allow- measurements of surface reflectance, rs, via the Sciences, University of California, Los Angeles, CA 90095, USA. ing near-surface water ice, if present, to remain lidar link equation (16, 17) and preflight sensor 5 Department of Terrestrial Magnetism, Carnegie Institution of stable against sublimation for billions of years calibrations (10). Washington, Washington, DC 20015, USA. 6Lamont-Doherty (2). Such hypotheses were renewed when Earth- During its primary mapping mission, MES- Earth Observatory, Columbia University, Palisades, NY 10964, USA. 7The Johns Hopkins Applied Physics Laboratory, Laurel, based radar observations of Mercury, at wave- SENGER orbited Mercury in an eccentric orbit MD 20723, USA. lengths from 3.6 to 70 cm (5–9), revealed regions with a 12-hour period and a ~200- to 400-km *To whom correspondence should be addressed. E-mail: of high backscatter and depolarization at both periapsis altitude at 60° to 70°N. In this orbit, gregory.a.neumann@nasa.gov poles. Radar observations suggested that depo- the MLA ranged to Mercury from 29 March 2011 296 18 JANUARY 2013 VOL 339 SCIENCE www.sciencemag.org
  • 3. REPORTS to 16 April 2012, densely sampling the north A map of radar cross section in the north RB region behind its steep (17° slope) north- polar region in nadir mode northward to 83.5°N polar region at S-band (12.6-cm wavelength) (9) facing wall, just south of 85°N (Fig. 1B). With a and sparsely in off-nadir mode at more norther- (Fig. 1B) shows many regions of high backscat- depth-to-diameter ratio of 0.025, typical for a ly latitudes (Fig. 1A) (1). More than 4 million ter cross section; other such regions extend be- complex crater of this size, only a portion of its topographic and 2 million reflectance measure- yond the limits of the map to latitudes as low as floor can lie in permanent shadow, consistent ments were collected at latitudes greater than 67°N. The polarization characteristics of these with the shape of the RB region. An unnamed 65°N in the first year of mapping. Of 700 orbital regions are suggestive of cold-trapped volatiles 1.5-km-deep, 18-km-diameter crater “Z” lies on profiles, 60 targeted latitudes higher than 84°N (5, 6, 18). These radar-bright (RB) features gen- the central floor of Prokofiev and is RB. The with off-nadir ranges, some yielding energy mea- erally coincide with high-latitude, steep-walled 62-km-diameter crater Kandinsky (formerly “J”) surements and some not (fig. S1). Orbital geome- craters of which the southern floors are perma- to the north has a nearly circular RB region (Fig. try and power and thermal constraints precluded nently shadowed from direct sunlight because of 1B). These and similar regions may now be sub- observations of many polar craters, and measure- Mercury’s near-zero obliquity. The largest RB jected to illumination models that use detailed ments of those that were accessible at oblique features lie north of 85°N, whereas the 108-km- polar topography (19). incidence returned noisier measurements than at diameter Prokofiev crater [previously given the A plot of the maximum illumination flux over nadir orientation. informal name “K” (18)] has a crescent-shaped 10 solar days is shown in Fig. 1C. We modeled the primary shadowing of the finite disk of the Sun with the orbital and rotational geometry of A B Mercury following an earlier methodology (20). -4 -2 0 2 0.00 0.02 0.04 0.06 0.08 0.10 Downloaded from www.sciencemag.org on January 23, 2013 180˚ 180˚ Zero flux corresponds to areas of near-permanent shadow that receive only scattered light. Mercury’s orbital eccentricity and 3:2 spin–orbit resonance result in lower average solar flux near longitudes of 90° and 270°E. Shallow, degraded craters and 0˚ 0˚ 12 12 24 24 0˚ 0˚ craters lying near the 0° and 180°E longitudes of Mercury’s equatorial “hot poles” have higher average illumination. Except for relatively fresh craters on the northern smooth plains (1), there are few RB features along these azimuths south of 85°N. The reflectance measurements binned at 1 km by 1 km resolution are shown in Fig. 1D. 30 30 ˚ ˚ 60 60 The log-normally distributed quantity rs has a 0˚ 0˚ mean of 0.17 T 0.05 (SD), and 98% of returns have rs < 0.3 (fig. S1). For comparison, the broad- band geometric albedo of Mercury from space is 0˚ 0˚ 0.142 (21). About 7% of returns comprise a sec- C D ondary “MLA-dark” (MD) mode distinguished 0 20 40 60 80 100 0.0 0.1 0.2 0.3 0.4 by rs < 0.1. This mode is seen in regions that are 180˚ 180˚ markedly darker than their surroundings. These regions coincide with areas where many received pulses do not trigger at the high threshold (fig. S2), although weak laser output, oblique inci- 0˚ 0˚ 12 12 dence, steep terrain, and/or extreme range, as 24 24 0˚ 0˚ well as low reflectivity, can lead to poor signal recovery. The deficit of energy measurements in many MD regions indicates that the mea- Kandinsky sured rs values are upper bounds for surface Prokofiev albedoes that are lower by factors of 2 to 3 than their surroundings. Many of the MD regions are associated with 30 30 ˚ ˚ polar craters containing RB material (Fig. 2). 60 60 0˚ 0˚ The larger MD regions generally enclose the RB features. MD returns lie mainly within regions of very low peak illumination, although not neces- 0˚ 0˚ sarily permanent shadow. The reflectance is low Fig. 1. Maps of topography, radar cross section, solar illumination, and reflectance in polar stereo- graphic projection southward to 75°N. Kandinsky and Prokofiev craters are outlined in three of the four Table 1. Classification of 175 craters according panels. (A) Topography (color scale in km) and shaded relief; the datum is a sphere of radius 2440 km. to radar and optical characteristics of associated (B) Earth-based radar image (9) displayed as a dimensionless radar cross section per unit area. (C) Maximum deposits. incident solar flux over a 10-year period as a percentage of the solar constant at 1 astronomical unit (AU) from an illumination model. The red box outlines the region shown in Fig. 2. (D) The 1064-nm MLA MLA MLA MLA Radar bidirectional reflectance from MLA low- and high-threshold measurements in near-nadir directions, dark bright/mixed normal undetermined median-averaged in 1 km–by–1 km bins. At latitudes poleward of 84°N, MLA obtained only a limited Bright 96 9 0 24 number of off-nadir profiles, and the projected reflectance data in this region are interpolated by a Dark 28 0 15 3 nearest-neighbor weighted average only within 2 km of data whose incidence angles were less than 10°. www.sciencemag.org SCIENCE VOL 339 18 JANUARY 2013 297
  • 4. REPORTS over the southern floors and the northward-facing lar outline. The correspondence of dark material (b5 and f5) (Fig. 2 and fig. S3) are relatively walls of virtually all craters at latitudes between with pole-facing slopes and the lack of such dark- pristine (>1 km deep), so their interiors may not 75° and 84°N. Darkening also occurs on some ening in most craters southward of 70°N ap- be visible to Earth-based radar. Twelve such craters poleward-facing exterior rim slopes of craters in pears to rule out instrumental effects or observational are <14 km in diameter. Those craters with MD the otherwise smooth plains within the 320-km- geometry as a cause of the surficial darkening. material that lack a RB signature and are 14 km diameter Goethe basin. Such darkening extends To assess the relations between MLA-dark or larger in diameter are at latitudes south of into regions that are partially illuminated. features, RB deposits, and illumination, we ex- 80°N. As with the RB regions, MLA-dark de- The asymmetric distribution of MD regions amined (22) 175 regions of low illumination iden- posits are more prevalent near 90° and 270°E, with respect to terrain slope direction does not tified as lying within craters varying in size from longitudes that receive less average illumina- simply result from observing geometry, surface ~7 to 108 km in diameter (23) and from 65°N tion as a result of Mercury’s spin-orbit reso- roughness, or the magnitude of the surface slope. poleward (Table 1). All craters with RB deposits nance and eccentric orbit, and in fresh craters The pulses returning from the MD portions are and sufficient MLA sampling show at least some on the smooth plains. At latitudes north of 75°N, not noticeably wider or narrower than those from MD features in their poleward-facing portions. 15 similar shadowed regions (putatively small the illuminated portions, nor do equator-facing por- Of 128 RB craters with RB deposits, 96 contain craters) with neither a RB signature nor MD tions of the floor show lower reflectance. If surface collocated MD portions, whereas there are 28 material are located mainly on an elevated area slope or roughness were causing reduced energy additional craters with MD material that lack a surrounding Purcell crater between longitudes return, the darker regions would have a circu- corresponding RB signature. Two such craters 170° and 230°E. Radar coverage may be partial- Downloaded from www.sciencemag.org on January 23, 2013 A pct B C rs 100 0.10 0.4 b5 f5 80 0.08 Yoshikawa 0.3 120 60 e5 0.06 0.2 40 0.04 c5 80 g5 0.1 20 0.02 0 0.00 0.0 250 300 350 400 250 300 350 400 250 300 350 400 km km km Fig. 2. Regional view of the area outlined in Fig. 1, in polar stereographic area. The projected radar map (9) has been shifted by 4 km to account for projection. Red circles show the outlines of six craters. (A) Maximum incident solar differences in projection and to achieve optimal registration with the MLA-based flux, as a percentage of the solar constant at 1 AU. (B) Radar cross-section per unit maps. Regions of interest (22) are labeled. (C) MLA reflectance (colored dots). A B -2 1.0 -3 km -4 -5 0.5 -6 rs -7 0.0 C -2 1.0 -3 km -4 -5 0.5 -6 -7 0.0 rs D -2 1.0 -3 km -4 -5 0.5 -6 rs -7 0.0 -50 0 50 Distance (km) Fig. 3. (A) MLA reflectance measurements (colored dots) of the north polar height (black lines) and reflectance (red dots) through Prokofiev acquired on region from longitude 0° to 90°E and latitude 82.5° to 90°N. Background is 22 through 24 March 2012 starting at 0308 UTC on each day, at a 5° to 7° a mosaic of MDIS (34) frames at different illumination geometries and has a nadir angle. Vertical exaggeration is 10:1. The profiles are centered at nonlinear contrast stretch for visibility. Three profiles through Prokofiev (b-b′, longitude 60°E and traverse the poleward-facing wall of Prokofiev crater in c-c′, and d-d′) were acquired at near-nadir orientation. Profiles through an approximate west-to-east direction. The blue lines show the modeled Kandinsky were acquired at ~30° off-nadir orientation. (B to D) Profiles of extent of low average solar flux (<50 W m−2 or <0.04 of terrestrial). 298 18 JANUARY 2013 VOL 339 SCIENCE www.sciencemag.org
  • 5. REPORTS ly obscured by rough terrain in this sector, but the pothesis that water ice is exposed at the surface 10. J. F. Cavanaugh et al., Space Sci. Rev. 131, 451 (2007). lack of RB features more likely has a thermal in areas where surface temperatures are never 11. The MLA is a time-of-flight laser range finder that uses direct detection and pulse-edge timing to determine origin at these “hot pole” longitudes in locations sufficiently high for substantial loss by subli- precisely the range from the MESSENGER spacecraft to where partial illumination might preclude stabil- mation. The surface measurements are aver- Mercury’s surface. MLA’s laser transmitter emits 6-ns-long ity of near-surface water ice (fig. S4). ages over footprints that are dozens of meters pulses at an 8-Hz rate with 20 mJ of energy at a wavelength Although the MLA-dark regions are more in extent and could represent a thin or unevenly of 1064 nm. Return echoes are collected by an array of four refractive telescopes and are detected with a abundant and extensive than RB regions, there distributed layer of optically bright material single silicon avalanche photodiode detector. The timing are at least nine areas within the largest RB re- that has not been covered by dust or regolith. of laser pulses is measured with a set of time-to-digital gions at very high latitudes in which the MLA However, to the extent that MLA-bright and converters linked to a crystal oscillator for which the reflectances are optically bright. The nine cra- RB characteristics are sampling the same ma- frequency is monitored from Earth. 12. S. C. Solomon, R. L. McNutt Jr., R. E. Gold, D. L. Domingue, ters hosting RB material, at latitudes between terial, the associated deposits must have a thick- Space Sci. Rev. 131, 3 (2007). 82.5° and 88.5°N, have portions with rs > 0.3 ness of at least several meters. The reflectance 13. M. J. Talpe et al., J. Geophys. Res. 117, E00L13 as well as areas that are anomalously dark or measurements presented here strongly suggest (2012). that return no reflectance measurements. The that one of the largest and deepest regions of 14. G. B. Hansen, T. B. McCord, J. Geophys. Res. 109, E01012 (2004). two most prominent such craters are north of permanent shadow in crater Prokofiev is a host 15. The MLA measures the threshold crossing times of the 84.9°N latitude. for water ice deposits exposed at the surface. received pulses at two discriminator voltages simultaneously, Craters Kandinsky and Prokofiev, for which The existence of these dark and bright sur- a low threshold for maximum sensitivity and a threshold high radar cross sections suggest thick, near- faces and their association with topography in- about twice as high to give four sample points of the Downloaded from www.sciencemag.org on January 23, 2013 surface ice deposits (18), are shown in Fig. 3. dicates that their formation processes operated received pulse waveform. A laser pulse may result in triggers at one or both thresholds or not at all. Ranging Their regions of permanent shadow (Fig. 1C) during geologically recent times and may be with low-threshold detections is possible at ranges up have many reflectance values in excess of 0.3 active on Mercury today. The rates of darkening to 1500 km, but steady returns that cross both low and (pink or white symbols), especially along the and brightening must be higher than those for high thresholds are obtained mostly at altitudes less southern portion of Prokofiev. Three profiles processes that act to homogenize surface reflec- than ~600 km and with near-nadir (<20°) incidence. When a pulse is detected by a pair of discriminators, its crossing the RB region are plotted along track in tance, such as impact gardening. Were vertical energy and duration may be inferred from a model Fig. 3, B to D. Profile 3B grazed the uppermost mixing by impact gardening dominant at the waveform that accounts for the dispersion in time of kilometer of the crater wall and recorded no meter scale, we would expect that the polar de- return pulses as a result of surface slope and/or high-threshold detections in regions of shadow. posits would have reflectance values (and radar roughness. To estimate the pulse energy, we adopted a simple triangular model that fits the rising and falling Profile 3C passed 2 km into the interior along backscatter characteristics) more similar to those edges of the trigger at each threshold. This model the north-facing wall and shows many strongly of surrounding terrain. generates values nearly equal to a Gaussian model for reflective returns (red symbols) up to the edges Detailed thermal models (25) suggest that well-constrained pulses. Energy is a nonlinear function of the crater, where such returns dropped out for surface temperatures in the majority of the high- of pulse timing measurements and tends to have a long-tailed or approximate log-normal distribution, as several seconds. Profile 3D reached portions of latitude craters with RB deposits that MLA has illustrated in the supplementary materials. the crater floor that are in permanent shadow observed to date are too warm to support per- 16. C. S. Gardner, IEEE Trans. Geosci. Rem. Sens. 30, 1061 and recorded variable reflectance. These profiles sistent water ice at the surface, but the temper- (1992). are the only ones to date obtained over the shad- atures in their shadowed areas are compatible 17. The lidar link equation is Erx = Etxhr(Ar/R2)(rs/p), where owed interior of Prokofiev at the relatively small with the presence of surficial dark organic ma- Erx is the received signal pulse energy, Etx is the transmitted laser pulse energy, hr is the receiver optics incidence angles (6° to 7°) for which reflectance terial. Modeled subsurface temperatures in these transmission, Ar is the receiver telescope aperture area, measurements are most reliable. Two profiles dark regions are permissive of stable water ice R is range, and rs is the target surface reflectivity (relative nearest to crater Z (Fig. 3A) also include re- beneath a ~10-cm-thick layer of thermally in- to Lambertian). The ratio rs of reflected energy to incoming turns with rs > 0.3, as do several traversing sulating material. In contrast, thermal modeling energy (i.e., irradiance/solar flux, often simply written I/F) would be unity for a perfect diffusive reflector for crater Kandinsky to the north, but the measure- of the bright areas is supportive of surface water which the transmitter and receiver orientation are ments are noisier owing to incidence angles ice. This interpretation of the surface reflectance perpendicular to the surface. Mercury’s reflectivity at greater than 25°. at 1064 nm is fully consistent with the radar re- optical wavelengths normally lies in a range from 0.08 The observations of 1064-nm reflectance from sults as well as with neutron spectroscopic mea- to 0.12 (30–32), but because of the opposition effect (33) the average 1064-nm reflectance is about 50% laser altimetry thus fall into three categories: Most surements of Mercury’s polar regions (26). The higher, or about 0.17. are typical of Mercury reflectivity as a whole; a bright and dark areas can be ascribed collectively 18. J. K. Harmon, P. J. Perillat, M. A. Slade, Icarus 149, subset is much darker; and a smaller subset is to the deposition of water and organic volatiles 1 (2001). substantially brighter. The association of MD re- derived from the impacts of comets or volatile- 19. The topography derived from 700 MLA profiles (29 March gions with RB regions in near-permanent shadow rich asteroids on Mercury’s surface and migrated 2011 to 1 May 2012) provides a near-complete topographic map of the northern hemisphere northward to 84°N at a suggests that a thin, radar-transparent layer of to polar cold traps via thermally stimulated ran- resolution of 0.5 km. Craters Prokofiev and Kandinsky were optically dark material overlies and surrounds dom walk (27–29). sampled by several off-nadir profiles, from which radial the postulated polar ice deposits. If water ice averages of topography were constructed and used to fill were present in the ground as a matrix between in the unsampled interior after adding pseudo-random References and Notes noise, with a root variance of 70 m, and decimating and mineral grains, it could lower the reflectance rela- interpolating with the blockmedian and surface programs 1. M. T. Zuber et al., Science 336, 217 (2012). tive to dry ground but would sublimate rap- 2. A. R. Vasavada, D. A. Paige, S. E. Wood, Icarus 141, 179 of the Generic Mapping Tools (http://gmt.soest.hawaii. idly and lose optical contrast if exposed to (1999). edu). We modeled the average and maximum illumination high temperatures. The presence of MD regions 3. K. Watson, B. C. Murray, H. Brown, J. Geophys. Res. 66, conditions over a Mercury day by using an approach (20) 3033 (1961). developed to assess illumination conditions of polar in many smaller craters without RB deposits, 4. J. R. Arnold, J. Geophys. Res. 84, 5659 (1979). regions of the Moon. areas where scattered light raises average tem- 5. M. A. Slade, B. J. Butler, D. O. Muhleman, Science 258, 20. E. Mazarico, G. A. Neumann, D. E. Smith, M. T. Zuber, peratures (2, 24), indicates the presence of vola- 635 (1992). M. H. Torrence, Icarus 211, 1066 (2011). tiles that are both darker than water ice and 6. J. K. Harmon, M. A. Slade, Science 258, 640 (1992). 21. A. Mallama, D. Wang, R. A. Howard, Icarus 155, 253 stable to higher temperatures. 7. B. J. Butler, D. O. Muhleman, M. A. Slade, J. Geophys. Res. (2002). 98, 15,003 (1993). 22. We selected 175 representative regions of interest The identification of optically bright regions 8. G. J. Black, D. B. Campbell, J. K. Harmon, Icarus 209, from maps of permanent shadow derived from MLA associated with large RB features at the highest 224 (2010). topography, radar cross section, and MLA-dark regions, (>84.9°N) latitudes is consistent with the hy- 9. J. K. Harmon, M. A. Slade, M. S. Rice, Icarus 211, 37 (2011). as shown in the supplementary materials. Because www.sciencemag.org SCIENCE VOL 339 18 JANUARY 2013 299
  • 6. REPORTS many craters are not resolved by MLA, we also selected Imaging System (34) image mosaics. Locations are 32. W. E. McClintock et al., Science 321, 62 (2008). craters with diameters ≥7 km from MESSENGER images. less certain for smaller features inadequately sampled 33. T. Gehrels, Astrophys. J. 123, 331 (1956). Smaller RB deposits were not considered because most by MLA. Diameters of craters sampled ranged from 7 to 34. S. E. Hawkins III et al., Space Sci. Rev. 131, 247 (2007). appear from images to lie in small secondary craters, at 108 km, not including the 320-km-diameter Goethe the foot of poleward-facing scarps, or in rough terrain basin. Not included are several degraded and partially Acknowledgments: The MESSENGER project is supported and are inadequately sampled by MLA. The radar-bright flooded craters, such as a 133-km-diameter degraded by the NASA Discovery Program under contracts NAS5-97271 deposits were mapped with a threshold of 0.075 in the crater that encloses Purcell but for which the relief to the Johns Hopkins University Applied Physics Laboratory MATLAB image processing toolbox and correlated with does not create an area of permanent shadow. and NASW-00002 to the Carnegie Institution of Washington. craters identified in MLA topography and MESSENGER 24. D. A. Paige, S. E. Wood, A. R. Vasavada, Science 258, We are grateful for the myriad of contributions from the images. Labels assigned in uppercase are consistent with 643 (1992). MLA instrument and MESSENGER spacecraft teams and for previous nomenclature (15); lowercase letters and 25. D. A. Paige et al., Science 339, 300 (2013); comments by P. Lucey and two anonymous referees that numerals were assigned to provisional features. Regions 10.1126/science.1231106. improved the manuscript. with MLA energy measurements were classified as dark, 26. D. J. Lawrence et al., Science 339, 292 (2013); Supplementary Materials normal, or bright/mixed according to their contrast 10.1126/science.1229953. www.sciencemag.org/cgi/content/full/science.1229764/DC1 in brightness with those of surround areas; gaps in 27. B. J. Butler, J. Geophys. Res. 102, 19,283 (1997). Supplementary Text high-threshold returns were also taken to indicate darker 28. J. A. Zhang, D. A. Paige, Geophys. Res. Lett. 36, L16203 Figs. S1 to S5 material. Bright regions are surrounding those for which (2009). Reference (35) more than half of the returns have rs > 0.3. 29. J. A. Zhang, D. A. Paige, Geophys. Res. Lett. 37, L03203 23. Diameters of large craters were fit to the maximum MLA (2010). 5 September 2012; accepted 14 November 2012 topographic contours of the rims, whereas the diameters 30. T. B. McCord, J. B. Adams, Science 178, 745 (1972). Published online 29 November 2012; of smaller craters were estimated from Mercury Dual 31. F. Vilas, Icarus 64, 133 (1985). 10.1126/science.1229764 Downloaded from www.sciencemag.org on January 23, 2013 estimates. On Mercury, biannual average temper- Thermal Stability of Volatiles in the atures can be interpreted as close approximations to the nearly constant subsurface temperatures North Polar Region of Mercury that exist below the penetration depths of the diurnal temperature wave [about 0.3 to 0.5 m for David A. Paige,1* Matthew A. Siegler,1,2 John K. Harmon,3 Gregory A. Neumann,4 ice-free regolith, and several meters for ice-rich Erwan M. Mazarico,4 David E. Smith,5 Maria T. Zuber,5 Ellen Harju,1 areas (5, 9)]. The latitudinal and longitudinal sym- Mona L. Delitsky,6 Sean C. Solomon7,8 metries in surface and near-surface temperatures result from Mercury’s near-zero obliquity, eccen- Thermal models for the north polar region of Mercury, calculated from topographic measurements tric orbit, and 3:2 spin-orbit resonance (11, 12). made by the MErcury Surface, Space ENvironment, GEochemistry, and Ranging (MESSENGER) Comparison between the areal coverage of spacecraft, show that the spatial distribution of regions of high radar backscatter is well model-calculated biannual maximum and aver- matched by the predicted distribution of thermally stable water ice. MESSENGER measurements age temperatures and the thermal stability of a of near-infrared surface reflectance indicate bright surfaces in the coldest areas where water range of candidate volatile species (Fig. 2) pro- ice is predicted to be stable at the surface, and dark surfaces within and surrounding warmer vides strong evidence that Mercury’s anomalous areas where water ice is predicted to be stable only in the near subsurface. We propose radar features are due dominantly to the presence that the dark surface layer is a sublimation lag deposit that may be rich in impact-derived of thermally stable water ice, rather than some organic material. other candidate frozen volatile species. Within the region sampled, the vast majority of locations arth-based radar observations have yielded Measurements of surface reflectance at a within which biannual average temperatures are E maps of anomalously bright, depolarizing features on Mercury that appear to be lo- calized in permanently shadowed regions near wavelength of 1064 nm, made with the Mercury Laser Altimeter (MLA) onboard the MESSEN- GER (MErcury Surface, Space ENvironment, less than ~100 K are radar-bright, whereas for areas with biannual average temperatures of greater than 100 K there are almost no radar-bright de- the planet’s poles (1, 2). Observations of similar GEochemistry, and Ranging) spacecraft, have posits (Fig. 2C). This distribution suggests that radar signatures over a range of radar wavelengths revealed the presence of surface material that the radar-bright features are due to the presence imply that the radar-bright features correspond collocates approximately with radar-bright areas of a volatile species that is not thermally stable at to deposits that are highly transparent at radar within north polar craters and that has approxi- temperatures higher than ~100 K. Because of the wavelengths and extend to depths of several me- mately half the average reflectance of the planet, exponential dependence of vacuum sublimation ters below the surface (3). Cold-trapped water ice as well as bright material within Kandinsky and loss rates with temperature, the thermal stabilities has been proposed as the most likely material to Prokofiev craters that has approximately twice of the candidate volatile species shown in Fig. 2A be responsible for these features (2, 4, 5), but other the average planetary reflectance (7). MLA mea- over time scales of millions to billions of years are volatile species that are abundant on Mercury, surements have also provided detailed maps of well separated in temperature. As shown in Fig. 2A such as sulfur, have also been suggested (6). the topography of Mercury’s north polar region and fig. S8, 1 mm of exposed water ice—or 1 mm (8). Here, we apply this information in conjunc- of water ice buried beneath a 10-cm-thick lag 1 Department of Earth and Space Sciences, University of Cali- tion with a ray-tracing thermal model, previously deposit—would sublimate to a vacuum in 1 billion fornia, Los Angeles, CA 90095, USA. 2Jet Propulsion Lab- used to predict temperatures in the polar regions years at temperatures of 100 to 115 K, which we oratory, Pasadena, CA 91109, USA. 3National Astronomy and of Earth’s Moon (9), to calculate the thermal sta- interpret as strong evidence that Mercury’s anom- Ionosphere Center, Arecibo, PR 00612, USA. 4NASA Goddard bility of volatile species in the north polar region alous radar features are due dominantly to the Space Flight Center, Greenbelt, MD 20771, USA. 5Department of Earth, Atmospheric and Planetary Sciences, Massachusetts of Mercury. presence of thermally stable water ice. If the radar- Institute of Technology, Cambridge, MA 02139, USA. 6Cali- Maximum and average modeled temperatures bright deposits were composed primarily of a fornia Specialty Engineering, Flintridge, CA 91012, USA. 7De- (10) over one complete 2-year illumination cycle material with a higher or lower volatility than partment of Terrestrial Magnetism, Carnegie Institution of for the north polar region of Mercury are shown water ice, we would expect them to be thermally Washington, Washington, DC 20015, USA. 8Lamont-Doherty Earth Observatory, Columbia University, Palisades, NY 10964, in Fig. 1, A and B. The topography model north stable in areas with lower or higher annual aver- USA. of 84°N latitude has been extrapolated from only age temperatures than we observe. As illustrated *To whom correspondence should be addressed. E-mail: a few off-nadir data tracks, so model tempera- in Fig. 2, B and C, the fractional areal coverage of dap@moon.ucla.edu tures within this circle should be taken only as radar-bright regions that are also just sufficiently 300 18 JANUARY 2013 VOL 339 SCIENCE www.sciencemag.org