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Magnetic refrigeration                                                                                                                                                                                                                                                    Cool
                                                                                                                                                                                                                                                                                                                                  Mag
                                                                                                                         at room temperature                                                                                                                                                                                        ridge
                                                                                                                                                                                                                                                                                                                                  F




                                                                                                                          Britt Rosendahl Hansen, Luise Theil Kuhn

                                                                                                  Risø National Laboratory for Sustainable Energy, Technical University of Denmark, DTU


                                                            How does it work?                                                                                                                                     The challenge                                                     The magnetocaloric effect II
                                                                                           S                                                                    S                               We need better magnetocaloric materials!                                              1st order versus 2nd order magnetic phase transition:

                                                                                                                                                                                                All the known materials have one or more problems, see
                                                                                                                                                                                                the Examples.

                                                                                                                                                                                                The temperature change, D  T, obtained depends on the
                                                                                           N                                                                                                    magnetisation and heat capacity, see below. We cannot                               Magnetization
                                                                                                                                                                N
                                                                                                                                                                                                know these properties a priori .
 The physicist
                                                       He applies a magnetic field adiabatically
 OUr hero is holding a magnetic material                                                                                            This orders the magnetic moments..
                                                                                                                                                                                                Thus, progress is slow as it is done by trial and error.

                                                                                                                                                                 S
             S                                             Entropy preserved (adiabatic)
                                                                                                                                                                                                                                                                                          Entropy
                                                           S = Smagnetic + Slattice + Selectron                                                                                                                                                                                           change
                                                                                                                                                                                                             Why pursue this?
                                                           Smagnetic decreases Þ
                                                                               Slattice increases

                                                                                                                                                                                                                                                   Vapour-compression                                  Nd0.5Sr0.5MnO3
                                                                                                                                                                                                Magnetic refrigeration                                                                                                  [6]
                                                                                                                                                                 N
             N
                                                                                                                                                                                                                                                                                      1st order: sharp transition Þ   large D
                                                                                                                                                                                                                                                                                                                            S
                                                                                                                                                                                                                                                   Mature
                                                                                                                                                                                                                                                   Ÿ
                                                                                                                                                                                                Larger efficiency
                                                                                                                                                                                                Ÿ
                                                Why?                                                                           Our physicist now cools the sample..
 ..and the material heats up                                                                                                                                                                                                                                                                     ...but small range (peak width)
                                                                                                                                                                                                                                                   Reliable
                                                                                                                                                                                                                                                   Ÿ
                                                                                                                                                                                                Environmentally friendly
                                                                                                                                                                                                Ÿ
                                                                                                                                                                                                                                                                                                 ...and hysteresis
                                                                                                                                                                                                                                                   Low-cost
                                                                                                                                                                                                                                                   Ÿ
                                                                                                                                                                                                Ÿ noise
                                                                                                                                                                                                Less
                                                       S
              S                                                                                                        Entropy preserved (adiabatic)

                                                                                                                       S = Smagnetic + Slattice + Selectron

                                                                                                                                                                                                      The magnetocaloric effect I
                                                                                                                       Smagnetic increases Þ
                                                                                                                                           Slattice decreases

                                                                                                                                                                                                                                                                                                         Wanted!
                                                       N
              N                                                                                                                                                                                 The magnetic entropy change is given by:
                                                                                                               Why?
..which reduces the entropy of         ..and when the field is removed adiabatically                                                                                                                             H2
                                                                                                                                                                                                             æT , H ) ö
                                                                                                                                                                                                             M(
                                                                                                                                                                                                             ¶                                                                                             Dead or alive
the material...                        the sample cools further
                                                                                                                                                                                                  SM (T ) =
                                                                                                                                                                                                          ò ¶H , P dH
                                                                                                                                                                                                  D-         ç        ÷
                                                                                                                                                                                                                T
                                                                                                                                                                                                          H1 è        ø
                                                        S                                                  S
                                                                                                                                                                                                where M is the magnetization. From this and the heat
                                                                                                                                                                                                capacity, C, we find the adiabatic temperature change:
                                                                                                                                                                                                            H2
                                                                                                                                                                                                                                                                                    Materials with the following properties:
                                                                                                                                                                                                            æ   ¶ )ö
                                                                                                                                                                                                              T M (T , H
                                                                                                                                                                                                         ò ,H) ´ ÷
                                                                                                                                                                                                            ç
                                                                                                                                                                                                  T (T ) =                dH
                                                                                                                                                                                                  D-        ç            ÷
                                                                                                                                                                                                            C(T    T
                                                                                                                                                                                                                  ¶H , P
                                                                                                                                                                                                         H1 è            ø                                                          l phase transition around room temperature
                                                                                                                                                                                                                                                                                    Magnetic
                                                                                                                                                                                                                                                                                    (broad or tunable)
                                                        N                                                 N                                                                                     We see that DT is largest, when the increase in
                                                                                                                                                                   Cheers
                                                                                          Heat is transferred and the object(s) are cooled
    Thermal contact with object(s) in need of cooling is established                                                                                                                            magnetization for a given temperature and applied field
                                                                                                                                                                                                                                                                                    l capacity at phase transition temperature
                                                                                                                                                                                                                                                                                    Small heat
                                                                                                                                                                                                is largest .
                                                                                                                                                              (c) 2008 Britt Rosendahl Hansen


                                                                                                                                                                                                                                                                                    l
                                                                                                                                                                                                                                                                                    Magnetically soft: easy to magnetize
                                                                                                                                                                                                                                   Magnetization




                                                                                                                                                                                                                                                                                    l
                                                                                                                                                                                                                                                                                    No thermal or magnetic hysteresis
                                                                                                                                                                                                This happens around
                                                                                                                                                                                                the magnetic phase
                                                     Our group at Risø DTU                                                                                                                                                                                                          l
                                                                                                                                                                                                                                                                                    Cheap and resistant to corrosion by water
                                                                                                                                                                                                transition temperature.
                                                                                                                                                                                                                                   D




                                                         Materials research
                                                                                                                                                                                                                                   T




                                                                                                                      X-ray diffraction
                                                                                                       Do we have the right material? How pure is it?
                                                                                                                                                                                                                                                           Temperature (K)
                                                                       Characterization

                                                                                                                                                                                                 Dbe determined from isothermal magnetization
                                                                                                                                                                                                  SM can
                                                                                                                                                                                                curves:
                                                                                                                                                                                                                                                                                                       Examples
            Idea/guess                                                                                                                                                                                       Magnetization (A/m)
                                              Production

                                                                                                                                                                                                                                                                                                          Gadolinium
                                                       Magnetometry                                                                                                                                                                                              T1

                                                                           Does the material display hysteresis (thermal or magnetic)?
        From initialcurves we can calculate dM/dT                                                                                                                                                                                                                T2
                                                                                                                                                                                                                                                                                                                  Benchmark material
                                                                                                                                                                                                                               SM
                                                                                                                                                                                                                               D
                                                                                                                                                                                                                                                                                                                  Hexagonal close-packed
                                                                                                                                                                                                                                                                                                                  Metal
                                                                                                                                                                                                                                                                                                                  FM-PM transition
                                                                                                                                                                                                                                                                                                                  2nd order
                                                                                                                                                                                                                                                        Applied field (T)
                                                                                                                                                                                                                          H1                       H2
                                                                                                                                                                                                                                                                                                                  Pro:
                                                                                                                                                                                                                                                                                                                  Large DT
                                                                                                                                                                                                                                                                                    [5]
                                                                                                                                                                                                                                                                                                                  Broad transition

                                                        Calorimetry                                                     Data analysis
                                                                                                                                                                                                                                                                                                                  Con:
                                            Provides us with the heat capacity                        To obtain the entropy and temperature changes                                                                                                                                                               Expensive
                                                                                                                                                                                                                               Fe49Rh51                                                                           Oxidizes
                                                                                                                                                                                                                                                    Hexagonal close-packed
                                                                                                                                                                                                                                                    Metal
                                                                                                                                                                                                                                                    AFM-FM transition               [4]
                                                                                                                                                                                                                                                     st
                                                                                                                                                                                                                                                    1 order
    All the characterization                                                                                                                                                                    [1]
    data in this box are on
                                                                                                                                                                                                                                                    Pro:
    samples of La(Fe,Co,Si)13                                                                                                                                                                                                                                                                          La0.67Ca0.33-xSrxMnO3
                                                                                                                                                                                                                                                    Very large D
                                                                                                                                                                                                                                                               T
                                                                                                                                                                                                                                                    Tc tunable
                                                                                                                                                                                                                                                                                                                  Perovskite
                                                                                                                                                                                                                                                                                                                  Ceramic
                                                                                                                                                                                                                                                    Con:
                                     Modeling                                                                       Prototype design                                                                                                                                                                              FM-PM transition
                                                                                                                                                                                                                                                    Rh is prohibitively expensive                                  st nd
                                                                                                                                                                                                                                                                                                                  1 /2 order
                                                                                                                                                                                                                                                    Thermal hysteresis
                                                                                                                                                                                                              0.65T
                                                                                                                                                                                                              p
                                                                                                                                                                                                                                                                                                                  Mechanism: double exchange
                                                                                                                                                                                                              1.25T
                                                                                                                                                                                                              q
                                                                                                                                                                                                              1.70T
                                                                                                                                                                                                              n
                                                                                                                                                                                                                                                                                                                  Pro:
                                                                                                                                                                                                [2]
                                                                                                                                                                                                                                                                                                                  Tc tunable by doping
                                                                                                                                                                                                                                                                                                                  Cheap
                                                                                                                                                                                                                                                                                                                  Easy to fabricate
                                                                                                                                                                                                                      References                                                                                  Does not corrode

                                                                                                                                                                                                                                                                                                                  Con:
                                                                                                                                                                                                 [1] Hernando et al., Synthesis and properties of
                                                                                                                                                                                                                                                                                                                  Large entropy change, but
                                                                                                                             Test machine                                                        mechanically alloyed and nanocrystalline materials, 235
                                                                                                                                                                                                                                                                                                                  also large heat capacity
                                                                                                                                                                                                 (1997) 675
                                                                                                                                                                                                                                                                                                                      T too small
                                                                                                                                                                                                 [2] Annaorazov et al., Cryogenics, 32 (10) (1992) 867                                                            Þ  D
                                                                                                                                                                                                 [3] Dinesen, Ph.D.-thesis, 2004
                                                                                                                           Conf
                                                                                                                               ident                                                             [4] Pecharsky et al., Phys. Rev. Lett., 78 (1997) 4494
                                                                                                                                    ial                                                                                                                                             [3]
                                                                                                                                                                                                 [5] Dan’kov et al., Phys. Rev. B, 57 (6) (1998) 3478
                                                                                                                                                                                                 [6] Sande et al., Appl. Phys. Lett. 79 (13) (2001) 2040
                                                                                                                              New design

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Magnetic Refrigeration at Room Temperature

  • 1. Magnetic refrigeration Cool Mag at room temperature ridge F Britt Rosendahl Hansen, Luise Theil Kuhn Risø National Laboratory for Sustainable Energy, Technical University of Denmark, DTU How does it work? The challenge The magnetocaloric effect II S S We need better magnetocaloric materials! 1st order versus 2nd order magnetic phase transition: All the known materials have one or more problems, see the Examples. The temperature change, D T, obtained depends on the N magnetisation and heat capacity, see below. We cannot Magnetization N know these properties a priori . The physicist He applies a magnetic field adiabatically OUr hero is holding a magnetic material This orders the magnetic moments.. Thus, progress is slow as it is done by trial and error. S S Entropy preserved (adiabatic) Entropy S = Smagnetic + Slattice + Selectron change Why pursue this? Smagnetic decreases Þ Slattice increases Vapour-compression Nd0.5Sr0.5MnO3 Magnetic refrigeration [6] N N 1st order: sharp transition Þ large D S Mature Ÿ Larger efficiency Ÿ Why? Our physicist now cools the sample.. ..and the material heats up ...but small range (peak width) Reliable Ÿ Environmentally friendly Ÿ ...and hysteresis Low-cost Ÿ Ÿ noise Less S S Entropy preserved (adiabatic) S = Smagnetic + Slattice + Selectron The magnetocaloric effect I Smagnetic increases Þ Slattice decreases Wanted! N N The magnetic entropy change is given by: Why? ..which reduces the entropy of ..and when the field is removed adiabatically H2 æT , H ) ö M( ¶ Dead or alive the material... the sample cools further SM (T ) = ò ¶H , P dH D- ç ÷ T H1 è ø S S where M is the magnetization. From this and the heat capacity, C, we find the adiabatic temperature change: H2 Materials with the following properties: æ ¶ )ö T M (T , H ò ,H) ´ ÷ ç T (T ) = dH D- ç ÷ C(T T ¶H , P H1 è ø l phase transition around room temperature Magnetic (broad or tunable) N N We see that DT is largest, when the increase in Cheers Heat is transferred and the object(s) are cooled Thermal contact with object(s) in need of cooling is established magnetization for a given temperature and applied field l capacity at phase transition temperature Small heat is largest . (c) 2008 Britt Rosendahl Hansen l Magnetically soft: easy to magnetize Magnetization l No thermal or magnetic hysteresis This happens around the magnetic phase Our group at Risø DTU l Cheap and resistant to corrosion by water transition temperature. D Materials research T X-ray diffraction Do we have the right material? How pure is it? Temperature (K) Characterization Dbe determined from isothermal magnetization SM can curves: Examples Idea/guess Magnetization (A/m) Production Gadolinium Magnetometry T1 Does the material display hysteresis (thermal or magnetic)? From initialcurves we can calculate dM/dT T2 Benchmark material SM D Hexagonal close-packed Metal FM-PM transition 2nd order Applied field (T) H1 H2 Pro: Large DT [5] Broad transition Calorimetry Data analysis Con: Provides us with the heat capacity To obtain the entropy and temperature changes Expensive Fe49Rh51 Oxidizes Hexagonal close-packed Metal AFM-FM transition [4] st 1 order All the characterization [1] data in this box are on Pro: samples of La(Fe,Co,Si)13 La0.67Ca0.33-xSrxMnO3 Very large D T Tc tunable Perovskite Ceramic Con: Modeling Prototype design FM-PM transition Rh is prohibitively expensive st nd 1 /2 order Thermal hysteresis 0.65T p Mechanism: double exchange 1.25T q 1.70T n Pro: [2] Tc tunable by doping Cheap Easy to fabricate References Does not corrode Con: [1] Hernando et al., Synthesis and properties of Large entropy change, but Test machine mechanically alloyed and nanocrystalline materials, 235 also large heat capacity (1997) 675 T too small [2] Annaorazov et al., Cryogenics, 32 (10) (1992) 867 Þ D [3] Dinesen, Ph.D.-thesis, 2004 Conf ident [4] Pecharsky et al., Phys. Rev. Lett., 78 (1997) 4494 ial [3] [5] Dan’kov et al., Phys. Rev. B, 57 (6) (1998) 3478 [6] Sande et al., Appl. Phys. Lett. 79 (13) (2001) 2040 New design