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Discovery of helium
Andrii Sofiienko
PhD, Senior Physicist
Visuray AS
28th of May, Bergen
Table of Contents
 What is “Helium”?
 Historical facts about Helium
 Chemical and physical properties of 4He
 Liquid Helium
 Spectroscopy of 4He
 Isotopes of Helium
 Astronomy and 4He
 Practical applications of 4He
 Deficit of 4He in the future?
 Escape of 4He into the space
28.05.2015 2
What is “Helium”?
Helium is a chemical element with symbol He
and atomic number 2. It is a colorless, inert,
monatomic gas that heads the noble gas group
in the periodic table [1].
28.05.2015 3
Fig. 1. The classical
representation of the
mulecula of 4He as a
nucleus with two
electrons on the orbit [2].
What is “Helium”?
28.05.2015 4
4
2
He
Historical facts about Helium
The first evidence of 4He was observed on August 18, 1868 as a
bright yellow line with a wavelength of 587.49 nm in the spectrum of
the chromosphere of the Sun. The line was detected by French
astronomer Jules Janssen during a total solar eclipse in Guntur,
India [3], [4]. This line was initially assumed to be sodium.
28.05.2015 5
Fig. 2. Emission spectra of He and Na. Jules Janssen
(1824 - 1907)
4He
23Na
Historical facts about Helium
On Oct. 20, 1868, English astronomer Norman Lockyer observed a
yellow line in the solar spectrum, which he named the D3
Fraunhofer line because it was near the known D1 and D2 lines of
sodium [5]. He concluded that it was caused by an element in the
Sun unknown on Earth. Lockyer and chemist Edward Frankland
named the element with the Greek word ἥλιος (helios) [6], [7].
28.05.2015 6
Norman Lockyer
(1836 - 1920)
Edward Frankland
(1825 - 1899)
Historical facts about Helium
In 1882, Italian physicist Luigi Palmieri detected 4He on
Earth, for the first time, through its D3 spectral line, when he
analysed the lava of Mount Vesuvius [8].
On March 26, 1895, Scottish chemist Sir William Ramsay
isolated 4He on Earth by treating the mineral cleveite (a variety
of uraninite) with mineral acids. He noticed a bright yellow line
that matched the D3 line observed in the spectrum of the Sun
[9-11].
4He was independently isolated from cleveite in 1895 by
chemists Per Teodor Cleve and Abraham Langlet in
Uppsala, Sweden, who collected enough of the gas to
accurately determine its atomic weight [4], [12], [13].
28.05.2015 7
Historical facts about Helium
In 1903, 4He gas (2%) was found in a natural gas field in
Dexter, Kansas. Helium of such concentration was found in a
number of other gas fields in the great plains in US.
In 1906, Hamilton P. Cady and David F. McFarland began to
analyze a large number of gas wells in Kansas, Oklahoma, and
Missouri. By the middle of 1906, they were able to report that
they had "a very unusual opportunity for obtaining helium
in practically unlimited quantities."
The USA is still the world’s largest supplier of helium, with many
reserves found in large natural gas fields (≈ 3·1010 m3).
28.05.2015 8
Historical facts about Helium
On 10 July 1908, Heike Kamerlingh Onnes (Nobel Prize in
Physics in 1978) was the first to liquefy 4He, using several
precooling stages and the Hampson-Linde cycle (Joule-Thomson
effect). He achieved the boiling point of 4He (−269 °C, 4.2 K). By
reducing the pressure of the liquid 4He he achieved a temperature
near 1.5 K [14].
28.05.2015 9
Heike Kamerlingh Onnes
(1853 - 1926)
Fig. 3. Paul Ehrenfest, Hendrik Lorentz and Niels
Bohr visit Heike Kamerlingh Onnes (1919) in the
cryogenic lab [15].
Historical facts about Helium
Heike Kamerlingh Onnes tried to
solidify 4He by further reducing the
temperature but failed because 4He
does not have a triple point
temperature at which the solid, liquid,
and gas phases are at equilibrium.
Onnes' student Willem Hendrik
Keesom was eventually able to
solidify 1 cm3 of 4He in 1926 by
applying additional external pressure
of 2.5 MPa [1], [14].
28.05.2015 10
Willem Hendrik Keesom
(1876 - 1956)
Historical facts about Helium
In 1938, Russian physicist Pyotr Leonidovich Kapitsa
discovered that 4He has almost no viscosity at T≈0K, a
phenomenon now called superfluidity [16]. This phenomenon is
related to Bose-Einstein condensation (Nobel Prize in Physics in
1978).
28.05.2015 11
Pyotr Leonidovich Kapitsa
(1894 - 1984)
He-II will "creep" along surfaces to find its own
level, after a short while, the levels in the two
containers will equalize. The helium film (called a
Rollin film) also covers the interior of the larger
container; if it were not sealed, the He-II would
creep out and escape.
Historical facts about Helium
In 1972, the same superfluidity phenomenon was observed in
3He, but at temperatures much closer to absolute zero, by
American physicists Douglas D. Osheroff, David M. Lee, and
Robert C. Richardson (they got Nobel Prize in Physics in 1996).
The phenomenon in 3He is thought to be related to pairing of 3He
fermions to make bosons, in analogy to Cooper pairs of electrons
producing superconductivity [17].
28.05.2015 12
Douglas D. Osheroff David M. Lee Robert C. Richardson
(1937 - 2013)
Chemical and physical properties of 4He
Property Value
Phase gas
Melting point 0.95 K (-272.2 °C) at 2.5 MPa
Boiling point 4.222 K ​(−268.928 °C)
Density
• Gas: 1.78·10-4 g/cc (20 °C);
• Liquid (m.p.): 0.145 g/cc;
• Liquid (b.p.): 0.125 g/cc;
Speed of sound
• Gas: 970 m/s;
• Liquid: 180 m/s.
Ionization energy 24.47 eV
Mass excess 28 MeV
Magnetic moment [μN] 0 (-2.1276 in 3He)
28.05.2015 13
Table. 1. Several main chemical and physical properties of 4He [1, 2, 18, 19].
He is a colourless, odourless, insipid and non-toxic gas. It’s less soluble in
water than any other gas. It’s the less reactive element and doesn’t essentially
form chemical compounds. The termic conductivity and the caloric content are
exceptionally high [18].
Liquid Helium
4He exists in a liquid form only at the extremely low
temperature of −268.928 °C (4.222 K).
Its boiling point and critical point depend on which isotope of
helium is present: the common isotope 4He or the rare isotope
3He. These are the only two stable isotopes of helium.
Table 2. Some physical properties of two isotopes of He [20].
28.05.2015 14
Properties of liquid helium 4He 3He
Critical temperature 5.2 K 3.3 K
Boiling point at one atmosphere 4.2 K 3.2 K
Minimum melting pressure 25 atm 29 atm at 0.3 K
Density 0.145 0.082
Superfluid transition temperature at
saturated vapor pressure
2.17 K
1 mK in the absence
of a magnetic field
Liquid Helium
Usually different isotopes of the same substance differ only in their
mass. However, the He isotopes behave very differently at low
temperatures. [21].
28.05.2015 15
Fig. 4. The phase diagram of 4He. The liquid
has a phase transition to a superfluid phase,
also known as He-II, at the temperature of
2.17K (at vapor pressure). The solid phase has
either hexagonal close packed (hcp) or body
centered cubic (bcc) symmetry.
Fig. 5. The phase diagram of 3He. There are two
superfluid phases of 3He, A and B. The line within
the solid phase indicates a transition between spin-
ordered and spin disordered structures (at low and
high temperatures, respectively).
Liquid Helium
The reason for the different behaviour of 4He and 3He is
quantum mechanics [21].
4He is a boson. The appearance of the superfluid phase in 4He
is related to Bose condensation, where a macroscopic fraction
of the atoms is in the lowest-energy one-particle state.
3He is a fermion (like electron) and it is forbidden by the Pauli
exclusion principle that more than one fermion is in the same
one-particle state. The superfluidity arises from formation of
weakly bound pairs of fermions, so called Cooper pairs. The
pairs behave as bosons. In the superfluid state there is a
macroscopic occupation of a single Cooper pair state.
28.05.2015 16
Spectroscopy of 4He
Electron configuration: 1s2
4He has unique emission lines and Fraunhofer lines –
discrete specra as usually in the gases [22].
28.05.2015 17
Spectroscopy of 4He
The absorption lines appear at precisely the same
wavelengths as the emission lines that would be produced
if the gas were heated to high temperatures [23].
28.05.2015 18
Spectroscopy of 4He and quantum mechanics
The Hamiltonian function of two electrons of 4He
(Werner Karl Heisenberg, 1926):
28.05.2015 19
120
2
20
2
2
2
2
10
2
2
1
2
44242
ˆ
r
e
r
Ze
mr
Ze
m
H



















x
y
z
e1e2 r12
r1r2
The last term represents electron-electron
repulsion at a distance r12.
)ˆ()ˆ(ˆ
iiiiii rErH  
)ˆ()ˆ()ˆ,ˆ( 221121 rrrr 
21 EEE 

i(ˆri,i,i)  Rni li
(ˆri)li mi
(i,i)
Rn,l is the radial part;
Yl,m is the spherical harmonic.
Spectroscopy of 4He and quantum mechanics
The solution for the discrete energy states is:
28.05.2015 20

En  
Zeff
2
e4
(40 )2
2 2
n2
Because the electrons are indistinguishable, the linear
combination of the wave functions also is a solution:

S 
1
2
( (ˆr1) (ˆr2)  (ˆr1) (ˆr2))
A 
1
2
( (ˆr1) (ˆr2)  (ˆr1) (ˆr2))
Symmetric
Asymmetric
  (ˆr1) (ˆr2)
Electrons in He can be in singlet state (asymmetric wave
function) or in triplet state (symmetric wave function).
Spectroscopy of 4He and quantum mechanics
Singlet states result when S=0.
 Para-helium (~ 25%)
Triplet states result when S=1
 Ortho-helium (~ 75%)
Triplet states are possible only
for the excided 4He due to the
Pauli exclusion principle.
Yellow line of 587.5 nm:
33D 23P
28.05.2015 21
Isotopes of Helium
There are 9 isotopes of Helium with different numbers of
neutrons), stable and unstable [24]:
28.05.2015 22
2He 3He 4He 5He 6He 7He 8He 9He 10He
Mass excess: 28 MeV in 4He and 14.93 MeV in 3He.
Astronomy and 4He
Hydrogen is the most abundant element in the known
Universe; helium is second.
The abundance of 4He (23% by mass) is well predicted by
the standard cosmological model, since they were
mostly produced shortly (~100 s) after the Big Bang, in a
process known as Big Bang nucleosynthesis.
There are two reasons of the 4He production:
 4He is stable and most neutrons combine with protons to form it
because the excess energy is also high – 28 MeV;
 Two 4He atoms cannot combine to form a stable atom: 8Be is
unstable.
28.05.2015 23
Astronomy and 4He
Solar Energy:
The Sun is by far the largest object in the solar system. It contains
more than 99.8% of the total mass. The Sun is, at present about
70% hydrogen and 28% helium by mass everything else ("metals")
amounts to less than 2% [34].
The Sun's power (about 386 billion billion MW) is produced by nuclear
fusion reactions. Each second about 700,000,000 tons of 1H are
converted to about 695,000,000 tons of helium (pp-cycle [35]):
28.05.2015 24
р + р → 2Н + е+ + νe (Eν < 0.42 MeV, τ ≈ 1010 y - weak interaction);
2Н + р → 3Не + γ + 5.49 MeV (τ ≈ 1.5 s);
3Не + 3Не → 4Не + 2р +12.86 MeV (65% - stellar core, τ ≈ 106 y);
3Не + 4Не → 7Ве + γ + 1.59 MeV (35% - stellar core, τ ≈5·105 y);
3Не + р → 4Не + νe + е+ + 18.77 MeV;
Practical applications of Helium
Today, He is used for many purposes that require some
of its unique properties [1], [2]:
 Cryogenics (32%)
 Pressurizing and purging (18%)
 Welding cover gas (13%)
 Controlled atmospheres (18%)
 Leak detection (4%)
 Breathing mixtures (2%)
 Other (13%, Neutron detection, zeppelins, …)
The balloons are perhaps the best known use of helium,
they are a minor part of all helium use.
28.05.2015 25
Practical applications of 3He, 4He
28.05.2015 26
The largest single use of
liquid 4He is to cool the
superconducting magnets
in modern MRI scanners [1].
Medical imaging:
Polarized 3He (it can be stored
for a long time) has recently
started to be used in magnetic
resonance tomography for
imaging the lungs by means of
nuclear magnetic resonance
[27].
Practical applications of 4He
A Helium Leak detector, also known as a Mass Spectrometer
Leak Detector (MSLD), is used to locate and measure the size of
leaks into or out of a system or containing device. The tracer gas,
helium, is introduced to a test part that is connected to the leak
detector. The 4He leaking through the test part enters through the
system and this partial pressure is measured and the results are
displayed on a meter [25].
28.05.2015 27
Practical applications of 4He
In rocket engines, 4He is often
used as a pressurizing agent,
pushing the liquid fuel and
oxidizer into the combustion
chamber [26].
4He is used for the purging of
the propellant feed systems
for liquid-hydrogen engines.
4He is used because its normal
boiling point is lower than that
of hydrogen. Other gases
would freeze, producing
particles that could clog
equipment [26].
28.05.2015 28
Practical applications of 3He
3He is a most important isotope in instrumentation for neutron
detection. It has a high absorption cross-section for thermal
neutrons. The neutrons are detected through the nuclear reaction
[27]
into charged particles tritium and protium that creates ionization in
the gas chamber.
28.05.2015 29
3 3 1
0.764n He H H MeV   
Application:
Control of illegal
transport of radioactive
materials (Uranium
and Plutonium)
Practical applications of 4He
A Zeppelin is a type of rigid airship named after Ferdinand
von Zeppelin who pioneered rigid airship development.
Zeppelin's ideas were first formulated in 1874 [28].
The Hindenburg was the largest airship ever built (97 people
on board, 1934). (It had been designed to use 4He, but the US refused to
allow its export. So, in what proved to be a fatal decision, the Hindenburg
was filled with flammable hydrogen – accident in May 1937, USA.)
28.05.2015 30
The first flight of LZ 1 over Lake Constance
(the Bodensee) in 1900Ferdinand von Zeppelin
(1838 - 1917)
Deficit of 4He in the future?
The diffusion speed of 4He through the solid materials is 3 times
more than of the air and by 65% more than of the hydrogen.
4He in the Earth's atmosphere escapes into space due to its
inertness and low mass. In a part of the upper atmosphere, 4He and
other lighter gases are the most abundant elements.
28.05.2015 31
In 1958 John Bardeen (the only person to
have won the Nobel Prize in Physics twice
[29]) and other influential scientists warned
the Congress that all our helium would be
gone by 1980. Congress reacted by spending
$1 billion on a separation plant in Amarillo,
Texas, and began stockpiling helium in empty
gas wells.
John Bardeen
(1908 - 1991)
Deficit of 4He in the future?
After 1980, still worldwide consumption of 4He has
increased by 5 to 10% a year in the past decade
The USGS Mineral Resources Program (MRP) reported
in 2012 that current global consumption of 4He is around
180 million m3/year [30], [31].
There’s something like 50 billion cubic metres lying
around out there [30], [31]. That’s a near 280 years
supply at current usage rates up to 2292.
28.05.2015 32
Escape of 4He into space
The atmosphere has a mass of about
5.15×1018 kg [30] three quarters of which is
within about 11 km from the surface.
28.05.2015 33
Composition of Earth's atmosphere by volume
is shown in right figure (1987 - 2009) [32].
∆Ratm ≈ 11 km
Vatm ≈ 5.6∙1018 m3
V4He ≈ 3∙1013 m3 (~10% of all 4He in Earth)
V3He ≈ 2∙108 m3 [27]
164 000 !He
He
production
V
years
dV
dt

 
 
 
Escape of 4He into space
The Earth’s atmosphere gradually leaks into space. The loss rate
is currently only about 3 kg/s for hydrogen and 50 g/s for 4He [33].
Nature income of 4He from the Earth’s crust is about 67 g/s [36].
Considering the density of 4He at normal conditions the annual
leakage is about 8.9 million m3/year – 20 times less that current
production rate!
It needs about 3.33 million years to lose all 4He just from the
atmosphere.
There are few reasons of the Helium escape:
 Molecular evaporation in the exosphere (h>500 km, T<3000 K);
 The upper atmosphere can absorb ultraviolet sunlight, warm up and
expand, pushing air upward. As the air rises, it accelerates smoothly
through the speed of sound and then attains the escape velocity. This form
of thermal escape is called hydrodynamic escape or the planetary wind.28.05.2015 34
Escape of 4He into space
Fig. 6. A schematic of the molecular evaporation of the gases from the
atmosphere [33].
28.05.2015 35
Escape of 4He into space
Fig. 7. A schematic of the atmosphere wind effect that leads to the leakage of
the gases [33].
28.05.2015 36
Escape of 4He into space
28.05.2015 37
EVIDENCE FOR
THERMAL ESCAPE
comes from considering
which planets and
satellites have
atmospheres and which
do not [33].
The deciding factor
appears to be the strength
of stellar heating (vertical
axis) relative to the
strength of a body’s
gravity (horizontal axis).
Airless worlds have strong
heating and weak gravity
(left of line). Bodies with
atmospheres have weak
heating and strong gravity
(right of line).
References
1. http://en.wikipedia.org/wiki/Helium
2. http://halo.wikia.com/wiki/Helium
3. Kochhar, R. K. (1991). "French astronomers in India during the 17th – 19th centuries".
Journal of the British Astronomical Association 101 (2): 95–100.
4. Emsley, John (2001). Nature's Building Blocks. Oxford: Oxford University Press. pp.
175–179.
5. Clifford A. Hampel (1968). The Encyclopedia of the Chemical Elements. New York:
Van Nostrand Reinhold. pp. 256–268.
6. Harper, Douglas. "helium". Online Etymology Dictionary.
7. Thomson, William (August 3, 1871). "Inaugural Address of Sir William Thomson".
Nature 4 (92): 261–278.
8. Stewart, Alfred Walter (2008). Recent Advances in Physical and Inorganic Chemistry.
BiblioBazaar, LLC. p. 201.
9. Ramsay, William (1895). "On a Gas Showing the Spectrum of Helium, the Reputed
Cause of D3, One of the Lines in the Coronal Spectrum. Preliminary Note".
Proceedings of the Royal Society of London 58 (347–352): 65–67.
10. Ramsay, William (1895). "Helium, a Gaseous Constituent of Certain Minerals. Part I".
Proceedings of the Royal Society of London 58 (347–352): 80–89.
11. Ramsay, William (1895). "Helium, a Gaseous Constituent of Certain Minerals. Part II--
". Proceedings of the Royal Society of London 59 (1): 325–330.
12. Langlet, N. A. (1895). "Das Atomgewicht des Heliums". Zeitschrift für anorganische
Chemie (in German) 10 (1): 289–292.
28.05.2015 38
References
13. Weaver, E.R. (1919). "Bibliography of Helium Literature". Industrial & Engineering
Chemistry.
14. https://en.wikipedia.org/wiki/Heike_Kamerlingh_Onnes
15. https://en.wikipedia.org/wiki/Museum_Boerhaave
16. Kapitza, P. (1938). "Viscosity of Liquid Helium below the λ-Point". Nature 141 (3558):
74.
17. Osheroff, D. D.; Richardson, R. C.; Lee, D. M. (1972). "Evidence for a New Phase of
Solid He3". Phys. Rev. Lett. 28 (14): 885–888.
18. http://www.lenntech.com/periodic/elements/he.htm
19. http://www.dpva.info/Guide/GuidePhysics/Sound/SoundSpeedTable1/
20. https://en.wikipedia.org/wiki/Liquid_helium
21. http://ltl.tkk.fi/research/theory/helium.html
22. http://www.stmary.ws/HighSchool/Physics/home/animations3/modernPhysics/Emissio
nAbsorptionSpectra.htm
23. http://www.bluffton.edu/~edmistonm/astronomy/AT404/HTML/AT40401.htm
24. http://en.wikipedia.org/wiki/Isotopes_of_helium
25. http://www.heliumleakdetection.net/Helium-Leak-Testing/what-is-helium-leak-
detection.html
28.05.2015 39
References
26. http://quantum-technology.com/about/helium.html
27. http://en.wikipedia.org/wiki/Helium-3
28. http://en.wikipedia.org/wiki/Zeppelin
29. http://en.wikipedia.org/wiki/John_Bardeen
30. http://www.forbes.com/sites/timworstall/2012/08/27/what-great-helium-shortage/
31. http://minerals.usgs.gov/minerals/pubs/commodity/helium/mcs-2012-heliu.pdf
32. http://en.wikipedia.org/wiki/Atmosphere_of_Earth
33. D.C. Catling, K.J. Zahnle, The Planetary Air Leak, Planetary science, May 2009.
34. Bhargav Boinpally, Solar Energy, California Takshila University, 2010.
35. http://en.wikipedia.org/wiki/Stellar_nucleosynthesis
36. Andrew S. Balian, The Unintended Disservice of Young Earth Science, Infinity, 2011.
28.05.2015 40
Thank you for your
attention!
28.05.2015 41

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Discovery of Helium (Andrii Sofiienko)

  • 1. Discovery of helium Andrii Sofiienko PhD, Senior Physicist Visuray AS 28th of May, Bergen
  • 2. Table of Contents  What is “Helium”?  Historical facts about Helium  Chemical and physical properties of 4He  Liquid Helium  Spectroscopy of 4He  Isotopes of Helium  Astronomy and 4He  Practical applications of 4He  Deficit of 4He in the future?  Escape of 4He into the space 28.05.2015 2
  • 3. What is “Helium”? Helium is a chemical element with symbol He and atomic number 2. It is a colorless, inert, monatomic gas that heads the noble gas group in the periodic table [1]. 28.05.2015 3 Fig. 1. The classical representation of the mulecula of 4He as a nucleus with two electrons on the orbit [2].
  • 5. Historical facts about Helium The first evidence of 4He was observed on August 18, 1868 as a bright yellow line with a wavelength of 587.49 nm in the spectrum of the chromosphere of the Sun. The line was detected by French astronomer Jules Janssen during a total solar eclipse in Guntur, India [3], [4]. This line was initially assumed to be sodium. 28.05.2015 5 Fig. 2. Emission spectra of He and Na. Jules Janssen (1824 - 1907) 4He 23Na
  • 6. Historical facts about Helium On Oct. 20, 1868, English astronomer Norman Lockyer observed a yellow line in the solar spectrum, which he named the D3 Fraunhofer line because it was near the known D1 and D2 lines of sodium [5]. He concluded that it was caused by an element in the Sun unknown on Earth. Lockyer and chemist Edward Frankland named the element with the Greek word ἥλιος (helios) [6], [7]. 28.05.2015 6 Norman Lockyer (1836 - 1920) Edward Frankland (1825 - 1899)
  • 7. Historical facts about Helium In 1882, Italian physicist Luigi Palmieri detected 4He on Earth, for the first time, through its D3 spectral line, when he analysed the lava of Mount Vesuvius [8]. On March 26, 1895, Scottish chemist Sir William Ramsay isolated 4He on Earth by treating the mineral cleveite (a variety of uraninite) with mineral acids. He noticed a bright yellow line that matched the D3 line observed in the spectrum of the Sun [9-11]. 4He was independently isolated from cleveite in 1895 by chemists Per Teodor Cleve and Abraham Langlet in Uppsala, Sweden, who collected enough of the gas to accurately determine its atomic weight [4], [12], [13]. 28.05.2015 7
  • 8. Historical facts about Helium In 1903, 4He gas (2%) was found in a natural gas field in Dexter, Kansas. Helium of such concentration was found in a number of other gas fields in the great plains in US. In 1906, Hamilton P. Cady and David F. McFarland began to analyze a large number of gas wells in Kansas, Oklahoma, and Missouri. By the middle of 1906, they were able to report that they had "a very unusual opportunity for obtaining helium in practically unlimited quantities." The USA is still the world’s largest supplier of helium, with many reserves found in large natural gas fields (≈ 3·1010 m3). 28.05.2015 8
  • 9. Historical facts about Helium On 10 July 1908, Heike Kamerlingh Onnes (Nobel Prize in Physics in 1978) was the first to liquefy 4He, using several precooling stages and the Hampson-Linde cycle (Joule-Thomson effect). He achieved the boiling point of 4He (−269 °C, 4.2 K). By reducing the pressure of the liquid 4He he achieved a temperature near 1.5 K [14]. 28.05.2015 9 Heike Kamerlingh Onnes (1853 - 1926) Fig. 3. Paul Ehrenfest, Hendrik Lorentz and Niels Bohr visit Heike Kamerlingh Onnes (1919) in the cryogenic lab [15].
  • 10. Historical facts about Helium Heike Kamerlingh Onnes tried to solidify 4He by further reducing the temperature but failed because 4He does not have a triple point temperature at which the solid, liquid, and gas phases are at equilibrium. Onnes' student Willem Hendrik Keesom was eventually able to solidify 1 cm3 of 4He in 1926 by applying additional external pressure of 2.5 MPa [1], [14]. 28.05.2015 10 Willem Hendrik Keesom (1876 - 1956)
  • 11. Historical facts about Helium In 1938, Russian physicist Pyotr Leonidovich Kapitsa discovered that 4He has almost no viscosity at T≈0K, a phenomenon now called superfluidity [16]. This phenomenon is related to Bose-Einstein condensation (Nobel Prize in Physics in 1978). 28.05.2015 11 Pyotr Leonidovich Kapitsa (1894 - 1984) He-II will "creep" along surfaces to find its own level, after a short while, the levels in the two containers will equalize. The helium film (called a Rollin film) also covers the interior of the larger container; if it were not sealed, the He-II would creep out and escape.
  • 12. Historical facts about Helium In 1972, the same superfluidity phenomenon was observed in 3He, but at temperatures much closer to absolute zero, by American physicists Douglas D. Osheroff, David M. Lee, and Robert C. Richardson (they got Nobel Prize in Physics in 1996). The phenomenon in 3He is thought to be related to pairing of 3He fermions to make bosons, in analogy to Cooper pairs of electrons producing superconductivity [17]. 28.05.2015 12 Douglas D. Osheroff David M. Lee Robert C. Richardson (1937 - 2013)
  • 13. Chemical and physical properties of 4He Property Value Phase gas Melting point 0.95 K (-272.2 °C) at 2.5 MPa Boiling point 4.222 K ​(−268.928 °C) Density • Gas: 1.78·10-4 g/cc (20 °C); • Liquid (m.p.): 0.145 g/cc; • Liquid (b.p.): 0.125 g/cc; Speed of sound • Gas: 970 m/s; • Liquid: 180 m/s. Ionization energy 24.47 eV Mass excess 28 MeV Magnetic moment [μN] 0 (-2.1276 in 3He) 28.05.2015 13 Table. 1. Several main chemical and physical properties of 4He [1, 2, 18, 19]. He is a colourless, odourless, insipid and non-toxic gas. It’s less soluble in water than any other gas. It’s the less reactive element and doesn’t essentially form chemical compounds. The termic conductivity and the caloric content are exceptionally high [18].
  • 14. Liquid Helium 4He exists in a liquid form only at the extremely low temperature of −268.928 °C (4.222 K). Its boiling point and critical point depend on which isotope of helium is present: the common isotope 4He or the rare isotope 3He. These are the only two stable isotopes of helium. Table 2. Some physical properties of two isotopes of He [20]. 28.05.2015 14 Properties of liquid helium 4He 3He Critical temperature 5.2 K 3.3 K Boiling point at one atmosphere 4.2 K 3.2 K Minimum melting pressure 25 atm 29 atm at 0.3 K Density 0.145 0.082 Superfluid transition temperature at saturated vapor pressure 2.17 K 1 mK in the absence of a magnetic field
  • 15. Liquid Helium Usually different isotopes of the same substance differ only in their mass. However, the He isotopes behave very differently at low temperatures. [21]. 28.05.2015 15 Fig. 4. The phase diagram of 4He. The liquid has a phase transition to a superfluid phase, also known as He-II, at the temperature of 2.17K (at vapor pressure). The solid phase has either hexagonal close packed (hcp) or body centered cubic (bcc) symmetry. Fig. 5. The phase diagram of 3He. There are two superfluid phases of 3He, A and B. The line within the solid phase indicates a transition between spin- ordered and spin disordered structures (at low and high temperatures, respectively).
  • 16. Liquid Helium The reason for the different behaviour of 4He and 3He is quantum mechanics [21]. 4He is a boson. The appearance of the superfluid phase in 4He is related to Bose condensation, where a macroscopic fraction of the atoms is in the lowest-energy one-particle state. 3He is a fermion (like electron) and it is forbidden by the Pauli exclusion principle that more than one fermion is in the same one-particle state. The superfluidity arises from formation of weakly bound pairs of fermions, so called Cooper pairs. The pairs behave as bosons. In the superfluid state there is a macroscopic occupation of a single Cooper pair state. 28.05.2015 16
  • 17. Spectroscopy of 4He Electron configuration: 1s2 4He has unique emission lines and Fraunhofer lines – discrete specra as usually in the gases [22]. 28.05.2015 17
  • 18. Spectroscopy of 4He The absorption lines appear at precisely the same wavelengths as the emission lines that would be produced if the gas were heated to high temperatures [23]. 28.05.2015 18
  • 19. Spectroscopy of 4He and quantum mechanics The Hamiltonian function of two electrons of 4He (Werner Karl Heisenberg, 1926): 28.05.2015 19 120 2 20 2 2 2 2 10 2 2 1 2 44242 ˆ r e r Ze mr Ze m H                    x y z e1e2 r12 r1r2 The last term represents electron-electron repulsion at a distance r12. )ˆ()ˆ(ˆ iiiiii rErH   )ˆ()ˆ()ˆ,ˆ( 221121 rrrr  21 EEE   i(ˆri,i,i)  Rni li (ˆri)li mi (i,i) Rn,l is the radial part; Yl,m is the spherical harmonic.
  • 20. Spectroscopy of 4He and quantum mechanics The solution for the discrete energy states is: 28.05.2015 20  En   Zeff 2 e4 (40 )2 2 2 n2 Because the electrons are indistinguishable, the linear combination of the wave functions also is a solution:  S  1 2 ( (ˆr1) (ˆr2)  (ˆr1) (ˆr2)) A  1 2 ( (ˆr1) (ˆr2)  (ˆr1) (ˆr2)) Symmetric Asymmetric   (ˆr1) (ˆr2) Electrons in He can be in singlet state (asymmetric wave function) or in triplet state (symmetric wave function).
  • 21. Spectroscopy of 4He and quantum mechanics Singlet states result when S=0.  Para-helium (~ 25%) Triplet states result when S=1  Ortho-helium (~ 75%) Triplet states are possible only for the excided 4He due to the Pauli exclusion principle. Yellow line of 587.5 nm: 33D 23P 28.05.2015 21
  • 22. Isotopes of Helium There are 9 isotopes of Helium with different numbers of neutrons), stable and unstable [24]: 28.05.2015 22 2He 3He 4He 5He 6He 7He 8He 9He 10He Mass excess: 28 MeV in 4He and 14.93 MeV in 3He.
  • 23. Astronomy and 4He Hydrogen is the most abundant element in the known Universe; helium is second. The abundance of 4He (23% by mass) is well predicted by the standard cosmological model, since they were mostly produced shortly (~100 s) after the Big Bang, in a process known as Big Bang nucleosynthesis. There are two reasons of the 4He production:  4He is stable and most neutrons combine with protons to form it because the excess energy is also high – 28 MeV;  Two 4He atoms cannot combine to form a stable atom: 8Be is unstable. 28.05.2015 23
  • 24. Astronomy and 4He Solar Energy: The Sun is by far the largest object in the solar system. It contains more than 99.8% of the total mass. The Sun is, at present about 70% hydrogen and 28% helium by mass everything else ("metals") amounts to less than 2% [34]. The Sun's power (about 386 billion billion MW) is produced by nuclear fusion reactions. Each second about 700,000,000 tons of 1H are converted to about 695,000,000 tons of helium (pp-cycle [35]): 28.05.2015 24 р + р → 2Н + е+ + νe (Eν < 0.42 MeV, τ ≈ 1010 y - weak interaction); 2Н + р → 3Не + γ + 5.49 MeV (τ ≈ 1.5 s); 3Не + 3Не → 4Не + 2р +12.86 MeV (65% - stellar core, τ ≈ 106 y); 3Не + 4Не → 7Ве + γ + 1.59 MeV (35% - stellar core, τ ≈5·105 y); 3Не + р → 4Не + νe + е+ + 18.77 MeV;
  • 25. Practical applications of Helium Today, He is used for many purposes that require some of its unique properties [1], [2]:  Cryogenics (32%)  Pressurizing and purging (18%)  Welding cover gas (13%)  Controlled atmospheres (18%)  Leak detection (4%)  Breathing mixtures (2%)  Other (13%, Neutron detection, zeppelins, …) The balloons are perhaps the best known use of helium, they are a minor part of all helium use. 28.05.2015 25
  • 26. Practical applications of 3He, 4He 28.05.2015 26 The largest single use of liquid 4He is to cool the superconducting magnets in modern MRI scanners [1]. Medical imaging: Polarized 3He (it can be stored for a long time) has recently started to be used in magnetic resonance tomography for imaging the lungs by means of nuclear magnetic resonance [27].
  • 27. Practical applications of 4He A Helium Leak detector, also known as a Mass Spectrometer Leak Detector (MSLD), is used to locate and measure the size of leaks into or out of a system or containing device. The tracer gas, helium, is introduced to a test part that is connected to the leak detector. The 4He leaking through the test part enters through the system and this partial pressure is measured and the results are displayed on a meter [25]. 28.05.2015 27
  • 28. Practical applications of 4He In rocket engines, 4He is often used as a pressurizing agent, pushing the liquid fuel and oxidizer into the combustion chamber [26]. 4He is used for the purging of the propellant feed systems for liquid-hydrogen engines. 4He is used because its normal boiling point is lower than that of hydrogen. Other gases would freeze, producing particles that could clog equipment [26]. 28.05.2015 28
  • 29. Practical applications of 3He 3He is a most important isotope in instrumentation for neutron detection. It has a high absorption cross-section for thermal neutrons. The neutrons are detected through the nuclear reaction [27] into charged particles tritium and protium that creates ionization in the gas chamber. 28.05.2015 29 3 3 1 0.764n He H H MeV    Application: Control of illegal transport of radioactive materials (Uranium and Plutonium)
  • 30. Practical applications of 4He A Zeppelin is a type of rigid airship named after Ferdinand von Zeppelin who pioneered rigid airship development. Zeppelin's ideas were first formulated in 1874 [28]. The Hindenburg was the largest airship ever built (97 people on board, 1934). (It had been designed to use 4He, but the US refused to allow its export. So, in what proved to be a fatal decision, the Hindenburg was filled with flammable hydrogen – accident in May 1937, USA.) 28.05.2015 30 The first flight of LZ 1 over Lake Constance (the Bodensee) in 1900Ferdinand von Zeppelin (1838 - 1917)
  • 31. Deficit of 4He in the future? The diffusion speed of 4He through the solid materials is 3 times more than of the air and by 65% more than of the hydrogen. 4He in the Earth's atmosphere escapes into space due to its inertness and low mass. In a part of the upper atmosphere, 4He and other lighter gases are the most abundant elements. 28.05.2015 31 In 1958 John Bardeen (the only person to have won the Nobel Prize in Physics twice [29]) and other influential scientists warned the Congress that all our helium would be gone by 1980. Congress reacted by spending $1 billion on a separation plant in Amarillo, Texas, and began stockpiling helium in empty gas wells. John Bardeen (1908 - 1991)
  • 32. Deficit of 4He in the future? After 1980, still worldwide consumption of 4He has increased by 5 to 10% a year in the past decade The USGS Mineral Resources Program (MRP) reported in 2012 that current global consumption of 4He is around 180 million m3/year [30], [31]. There’s something like 50 billion cubic metres lying around out there [30], [31]. That’s a near 280 years supply at current usage rates up to 2292. 28.05.2015 32
  • 33. Escape of 4He into space The atmosphere has a mass of about 5.15×1018 kg [30] three quarters of which is within about 11 km from the surface. 28.05.2015 33 Composition of Earth's atmosphere by volume is shown in right figure (1987 - 2009) [32]. ∆Ratm ≈ 11 km Vatm ≈ 5.6∙1018 m3 V4He ≈ 3∙1013 m3 (~10% of all 4He in Earth) V3He ≈ 2∙108 m3 [27] 164 000 !He He production V years dV dt       
  • 34. Escape of 4He into space The Earth’s atmosphere gradually leaks into space. The loss rate is currently only about 3 kg/s for hydrogen and 50 g/s for 4He [33]. Nature income of 4He from the Earth’s crust is about 67 g/s [36]. Considering the density of 4He at normal conditions the annual leakage is about 8.9 million m3/year – 20 times less that current production rate! It needs about 3.33 million years to lose all 4He just from the atmosphere. There are few reasons of the Helium escape:  Molecular evaporation in the exosphere (h>500 km, T<3000 K);  The upper atmosphere can absorb ultraviolet sunlight, warm up and expand, pushing air upward. As the air rises, it accelerates smoothly through the speed of sound and then attains the escape velocity. This form of thermal escape is called hydrodynamic escape or the planetary wind.28.05.2015 34
  • 35. Escape of 4He into space Fig. 6. A schematic of the molecular evaporation of the gases from the atmosphere [33]. 28.05.2015 35
  • 36. Escape of 4He into space Fig. 7. A schematic of the atmosphere wind effect that leads to the leakage of the gases [33]. 28.05.2015 36
  • 37. Escape of 4He into space 28.05.2015 37 EVIDENCE FOR THERMAL ESCAPE comes from considering which planets and satellites have atmospheres and which do not [33]. The deciding factor appears to be the strength of stellar heating (vertical axis) relative to the strength of a body’s gravity (horizontal axis). Airless worlds have strong heating and weak gravity (left of line). Bodies with atmospheres have weak heating and strong gravity (right of line).
  • 38. References 1. http://en.wikipedia.org/wiki/Helium 2. http://halo.wikia.com/wiki/Helium 3. Kochhar, R. K. (1991). "French astronomers in India during the 17th – 19th centuries". Journal of the British Astronomical Association 101 (2): 95–100. 4. Emsley, John (2001). Nature's Building Blocks. Oxford: Oxford University Press. pp. 175–179. 5. Clifford A. Hampel (1968). The Encyclopedia of the Chemical Elements. New York: Van Nostrand Reinhold. pp. 256–268. 6. Harper, Douglas. "helium". Online Etymology Dictionary. 7. Thomson, William (August 3, 1871). "Inaugural Address of Sir William Thomson". Nature 4 (92): 261–278. 8. Stewart, Alfred Walter (2008). Recent Advances in Physical and Inorganic Chemistry. BiblioBazaar, LLC. p. 201. 9. Ramsay, William (1895). "On a Gas Showing the Spectrum of Helium, the Reputed Cause of D3, One of the Lines in the Coronal Spectrum. Preliminary Note". Proceedings of the Royal Society of London 58 (347–352): 65–67. 10. Ramsay, William (1895). "Helium, a Gaseous Constituent of Certain Minerals. Part I". Proceedings of the Royal Society of London 58 (347–352): 80–89. 11. Ramsay, William (1895). "Helium, a Gaseous Constituent of Certain Minerals. Part II-- ". Proceedings of the Royal Society of London 59 (1): 325–330. 12. Langlet, N. A. (1895). "Das Atomgewicht des Heliums". Zeitschrift für anorganische Chemie (in German) 10 (1): 289–292. 28.05.2015 38
  • 39. References 13. Weaver, E.R. (1919). "Bibliography of Helium Literature". Industrial & Engineering Chemistry. 14. https://en.wikipedia.org/wiki/Heike_Kamerlingh_Onnes 15. https://en.wikipedia.org/wiki/Museum_Boerhaave 16. Kapitza, P. (1938). "Viscosity of Liquid Helium below the λ-Point". Nature 141 (3558): 74. 17. Osheroff, D. D.; Richardson, R. C.; Lee, D. M. (1972). "Evidence for a New Phase of Solid He3". Phys. Rev. Lett. 28 (14): 885–888. 18. http://www.lenntech.com/periodic/elements/he.htm 19. http://www.dpva.info/Guide/GuidePhysics/Sound/SoundSpeedTable1/ 20. https://en.wikipedia.org/wiki/Liquid_helium 21. http://ltl.tkk.fi/research/theory/helium.html 22. http://www.stmary.ws/HighSchool/Physics/home/animations3/modernPhysics/Emissio nAbsorptionSpectra.htm 23. http://www.bluffton.edu/~edmistonm/astronomy/AT404/HTML/AT40401.htm 24. http://en.wikipedia.org/wiki/Isotopes_of_helium 25. http://www.heliumleakdetection.net/Helium-Leak-Testing/what-is-helium-leak- detection.html 28.05.2015 39
  • 40. References 26. http://quantum-technology.com/about/helium.html 27. http://en.wikipedia.org/wiki/Helium-3 28. http://en.wikipedia.org/wiki/Zeppelin 29. http://en.wikipedia.org/wiki/John_Bardeen 30. http://www.forbes.com/sites/timworstall/2012/08/27/what-great-helium-shortage/ 31. http://minerals.usgs.gov/minerals/pubs/commodity/helium/mcs-2012-heliu.pdf 32. http://en.wikipedia.org/wiki/Atmosphere_of_Earth 33. D.C. Catling, K.J. Zahnle, The Planetary Air Leak, Planetary science, May 2009. 34. Bhargav Boinpally, Solar Energy, California Takshila University, 2010. 35. http://en.wikipedia.org/wiki/Stellar_nucleosynthesis 36. Andrew S. Balian, The Unintended Disservice of Young Earth Science, Infinity, 2011. 28.05.2015 40
  • 41. Thank you for your attention! 28.05.2015 41