Abstract
The history of one of the most exciting material classes can be traced back to the year 1903 when Fritz Heusler discovered that an alloy with the composition Cu2MnAl behaves like a ferromagnet, although none of its constituent elements is magnetic by itself. This class of Heusler compounds offer a degree of flexibility which is lacking in binary and pseudobinary ferromagnetic alloys and such flexibility is absolutely necessary to tackle all the needs of optimized devices. Despite all these interesting properties of Heusler compounds, this chapter will focus on magnetic materials and their applications in the field of spintronics.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Heusler F, Starck W, Haupt E (1903) Verh Dtsch Phys Ges 5:220
Heusler F (1903) Verh Dtsch Phys Ges 5:219
Heusler O (1934) Ann Phys 19:155
Bradley AJ, Rodgers JW (1934) Proc R Soc A 144:340
Webster PJ (1971) J Phys Chem Solids 32:1221
Brooks JS, Williams JM (1975) Phys Status Solidi (a) 32:413
de Groot RA, Mueller FM, van Engen PG, Buschow KHJ (1983) Phys Rev Lett 50:2024
Kübler J, Williams AR, Sommers CB (1983) Phys Rev B 28:1745
Felser C, Fecher GH, Balke B (2007) Angew Chem Int Ed 46:668
Gruhn T (2010) Phys Rev B 82:125210
Winterlik J, Fecher GH, Thomas A, Felser C (2009) Phys Rev B 79:064508
Wurmehl S, Fecher GH, Kandpal HC, Ksenofontov V, Felser C, Lin H-J (2006) Appl Phys Lett 88:032503
Barth J, Fecher GH, Balke B, Ouardi S, Graf T, Felser C, Shkabko A, Weidenkaff A, Klaer P, Elmers H-J, Yoshikawa H, Ueda S, Kobayashi K (2010) Phys Rev B 81:064404
Balke B, Fecher GH, Winterlik J, Felser C (2007) Appl Phys Lett 90:152504
Winterlik J, Balke B, Fecher GH, Felser C (2008) Phys Rev B 77:054406
Chadov S, Qi X, Kübler J, Fecher GH, Felser C, Zhang SC (2010) Nat Mater 9:541
Lin H, Wray A, Xia Y, Xu S, Jia S, Cava RJ, Bansil A, Hasan MZ (2010) Nat Mater 9:546
Graf T, Parkin SSP, Felser C (2011) IEEE Trans Magn 47:367
Graf T, Felser C, Parkin SSP (2011) Sol State Chem 39:1
Casper F, Felser C, Allgem Z (2008) Anorg Chem 634:2418
Gofryk K, Kaczorowski D, Plackowski T, Leithe-Jasper A, Grin Y (2005) Phys Rev B 72:094409
Hartjes K, Jeitschko W (1995) J Alloys Compd 226:81
Heyne L, Igarashi T, Kanomata T, Neumann K-U, Ouladdiaf B, Ziebeck KRA (2005) J Phys Condens Matter 17:4991
Kübler J (1984) Physica B 127:257
Casper F, Ksenofontov V, Kandpal HC, Reiman S, Shishido T, Takahashi M, Takeda M, Felser C, Allgem Z (2006) Anorg Chem 632:1273
Wu F, Mizukami S, Watanabe D, Naganuma H, Oogane M, Ando Y, Miyazaki T (2009) Appl Phys Lett 94:122503
Wu F, Mizukami S, Watanabe D, Sajitha EP, Naganuma H, Oogane M, Ando Y, Miyazaki T (2010) IEEE Trans Magn 46:1863
Slater JC (1936) Phys Rev 49:537
Pauling L (1938) Phys Rev 54:899
Kübler J (2000) Theory of itinerant electron magnetism. Clarendon, Oxford
Wurmehl S, Fecher GH, Kandpal HC, Ksenofontov V, Felser C, Lin H-J, Morais J (2005) Phys Rev B 72:184434
de Groot RA, van der Kraan AM, Buschow KHJ (1986) J Magn Magn Mater 61:330
de Groot RA (1991) Physica B 172:45
Weht R, Pickett WE (1999) Phys Rev B 60:13006
Galanakis I, Dederichs P (2005) Half-metallic alloys, vol 676, Lecture notes in physics. Springer, Berlin
Kübler J, Fecher GH, Felser C (2007) Phys Rev B 76:024414
Fecher GH, Kandpal HC, Wurmehl S, Felser C, Schönhense G (2006) J Appl Phys 99:08J106
Wurmehl S, Fecher GH, Ksenofontov V, Casper F, Stumm U, Felser C, Lin H-J, Hwu Y (2006) J Appl Phys 99:08J103
Balke B, Ouardi S, Graf T, Barth J, Blum CGF, Fecher GH, Shkabko A, Weidenkaff A, Felser C (2010) Solid State Commun 150:529
van Engen PG, Bushow KHJ, Jongebreuer R, Erman M (1983) Appl Phys Lett 42:202
Helmholdt RB, de Groot RA, Mueller FM, van Engen PG, Buschow KHJ (1984) J Magn Magn Mater 43:249
Kulatov E, Mazin II (1990) J Phys Condens Matter 2:343
Youn SJ, Min BI (1995) Phys Rev B 51:10436
Wang X, Antropov VP, Harmon BN (1994) IEEE Trans Magn 30:4458
Galanakis I, Ostanin S, Alouani M, Dreysse H, Wills JM (2000) Phys Rev B 61:4093
Galanakis I, Dederichs PH, Papanikolaou N (2002) Phys Rev B 66:134428
Kandpal HC, Felser C, Seshadri R (2005) J Phys D Appl Phys 38:1
Hanssen KEM, Mijnarends PE (1986) Phys Rev B 34:5009
Hanssen KEM, Mijnarends PE, Rabou LPLM, Buschow KHJ (1990) Phys Rev B 42:1533
Kirillova MN, Makhnev AA, Shreder EI, Dyakina VP, Gorina NB (1995) Phys Status Solidi B 187:231
Bona GL, Meier F, Taborelli M, Bucher E, Schmidt PH (1985) Solid State Commun 56:391
Soulen RJ, Osofsky MS, Nadgorny B, Broussard PR, Cheng SF, Byers JM, Tanaka CT, Nowack J, Moodera JS, Laprade G, Barry A, Coey MD (1999) J Appl Phys 85:4589
Ristoiu D, Nozieres JP, Borca CN, Borca B, Dowben PA (2000) Appl Phys Lett 76:2349
Ristoiu D, Nozieres JP, Borca CN, Komesu H-k, Jeong T, Dowben PA (2000) Europhys Lett 49:624
de Wijs GA, de Groot RA (2001) Phys Rev B 64:020402
Galanakis I (2002) J Phys Condens Matter 14:6329
Otto MJ, van Woerden RAM, van der Valk PJ, Wijngaard J, van Bruggen CF, Haas C (1989) J Phys Condens Matter 1:2351
Borca CN, Komesu T, Jeong H-K, Dowben PA, Ristoiu D, Hordequin C, Nozieres JP, Pierre J, Stadler S, Idzerda YU (2001) Phys Rev B 64:052409
Hordequin C, Ristoiu D, Ranno L, Pierre J (2000) Eur Phys J B 16:287
Hordequin C, Lelivre-Bernab E, Pierre J (1997) Physica B 234–236:602
Hordequin C, Pierre J, Currat R (1997) Physica B 234–236:605
Lezaic M, Mavropoulos P, Enkovaara J, Bihlmayer G, Blügel S (2006) Phys Rev Lett 97:026404
Wijngaard JH, Haas C, de Groot RA (1989) Phys Rev B 40:9319
Kulatov E, Uspenkii Y, Halilov S (1995) J Magn Magn Mater 145:395
Kisker E, Carbone C, Flipse CF, Wassermann EF (1987) J Magn Magn Mater 70:21
Ksenofontov V, Kroth K, Reiman S, Casper F, Jung V, Takahashi M, Takeda M, Felser C (2006) Hyperfine Interact 168:1201
Offernes L, Ravindran P, Kjekshus A (2003) Appl Phys Lett 82:2862
Casper F, Seshari R, Felser C (2009) Phys Status Solidi A 206:1090
Ksenofontov V, Melnyk G, Wojcik M, Wurmehl S, Kroth K, Reiman S, Blaha P, Felser A (2006) Phys Rev B 74:134426
Balke B, Fecher GH, Gloskovskii A, Barth J, Kroth K, Felser C, Robert R, Weidenkaff A (2008) Phys Rev B 77:045209
Fujii S, Sugimura S, Ishida S, Asano S (1990) J Phys Condens Matter 2:8583
Block T, Felser C, Jakob G, Ensling J, Mühling B, Gütlich P, Beaumont V, Studer F, Cava RJ (2003) J Solid State Chem 176:646
Kandpal HC, Fecher GH, Felser C (2007) J Phys D Appl Phys 40:1507
Picozzi S, Continenza A, Freeman AJ (2004) Phys Rev B 69:094423
Kurtulus Y, Dronskowski R, Samolyuk GD, Antropov VP (2005) Phys Rev B 71:014425
Kurtulus Y, Gilleen M, Dronskowski R (2005) J Comput Chem 27:90
Butler WH, Mewes CKA, Liu C, Xu T (2011) arXiv:1103.3855v1
Felser C, Ahn K, Kremer RK, Seshadri R, Simon AJ (1999) J Solid State Chem 147:19
Felser C, Seshadri R (2000) Int J Inorg Mater 6:677
Balke B, Fecher GH, Kandpal HC, Felser C, Kobayashi K, Ikenaga E, Kim J-J, Ueda S (2006) Phys Rev B 74:104405
Fecher GH, Kandpal HC, Wurmehl S, Morais J, Lin H-J, Elmers H-J, Schönhense G, Felser C (2005) J Phys Condens Matter 17:7237
Miura Y, Nagao K, Shirai M (2004) Phys Rev B 69:144413
Wurmehl S, Fecher GH, Kroth K, Kronast F, Dürr HA, Takeda Y, Saitoh Y, Kobayashi K, Lin H-J, Schönhense G, Felser C (2006) J Phys D Appl Phys 39:803
Zhang M, Liu Z, Hu H, Liu G, Cui Y, Chen J, Wu G, Zhang X, Xiao G (2004) J Magn Magn Mater 277:30
Kobayashi K, Umetsu RY, Kainuma R, Ishida K, Oyamada T, Fujita A, Fukamichi K (2004) Appl Phys Lett 85:4684
Clifford E, Venkatesan M, Gunning R, Coey JMD (2004) Solid State Commun 131:61
Galanakis I (2004) J Phys Condens Matter 16:8007
Buschow KHJ, van Engen P (1981) J Magn Magn Mater 25:90
Elmers H-J, Fecher GH, Valdaitsev D, Nepijko SA, Gloskovskii A, Jakob G, Schönhense G, Wurmehl S, Block T, Felser C, Hsu P-C, Tsai W-L, Cramm S (2003) Phys Rev B 67:104412
Webster PJ, Ziebeck KRA (1973) J Phys Chem Solids 34:1647
Ishida S, Akazawa S, Kubo Y, Ishida J (1982) J Phys F Met Phys 12:1111
Hedin L, Lundqvist BI (1971) J Phys C Solid State Phys 4:2064
Kohn W, Sham LJ (1965) Phys Rev 140:1133
von Barth U, Hedin L (1972) J Phys C Solid State Phys 5:1629
Ishida S, Fujii S, Kashiwagi S, Asano S (1995) J Phys Soc Jpn 64:2152
Ishida S, Kashiwagi S, Fujii S, Asano S (1995) Physica B 210:140
Mohn P, Blaha P, Schwarz K (1995) J Magn Magn Mater 140–144:183
Picozzi S, Continenza A, Freeman AJ (2002) Phys Rev B 66:094421
Perdew JP, Yue W (1986) Phys Rev B 33:8800
Perdew JP, Burke K, Ernzerhof M (1996) Phys Rev Lett 77:3865
Perdew JP, Chevary JA, Vosko SH, Jackson KA, Pederson MR, Singh DJ, Fiolhais A (1992) Phys Rev B 46:6671
Perdew JP, Burke K, Ernzerhof M (1997) Phys Rev Lett 78:1396
Antonov VN, Dürr HA, Kucherenko Y, Bekenov LV, Yaresko AN (2005) Phys Rev B 72:054441
Slater JC (1936) Phys Rev 49:931
van Vleck JH (1945) Rev Mod Phys 17:27
van Vleck JH (1953) Rev Mod Phys 25:220
Goldmann JE (1953) Rev Mod Phys 25:108
Flude P (1995) Electron correlations in molecules and solids, 3rd edn. Springer, Heidelberg
Kandpal HC, Fecher GH, Felser C, Schönhense G (2006) Phys Rev B 73:094422
Anisimov VI, Aryasetiawan F, Lichtenstein AI (1997) J Phys Condens Matter 9:767
Fecher GH, Felser C (2007) J Phys D Appl Phys 40:1582
Bandyopadhyay T, Sarma DD (1989) Phys Rev B 39:3517
Chadov S, Fecher GH, Felser C, Minár J, Braun J, Ebert H (2009) J Phys D Appl Phys 42:084002
Fecher GH, Balke B, Ouardi S, Felser C, Schönhense G, Ikenaga E, Kim J-J, Ueda S, Kobayashi K (2007) J Phys D Appl Phys 40:1576
Ebert H, Schütz G (1991) J Appl Phys 69:4627
Orgassa D, Fujiwara H, Schulthess TC, Butler WH (1999) Phys Rev B 60:13237
Orgassa D, Fujiwara H, Schulthess TC, Butler WH (2000) J Appl Phys 87:5870
Attema JJ, Fang CM, Chioncel L, de Wijs GA, Lichtenstein IA, de Groot RA (2004) J Phys Condens Matter 15:S5517
Miura Y, Shirai M, Nagao K (2004) J Appl Phys 95:7225
Inomata K, Okamura S, Goto R, Yezuka N (2003) Jpn J Appl Phys 42:L419
Pickett WE (1996) Phys Rev Lett 77:3185
Wurmehl S, Kandpal HC, Fecher GH, Felser C (2006) J Phys Condens Matter 18:6171
Pfleiderer C, Beouf J, Löhneysen H (2002) Phys Rev B 65:172404
Tomiyoshi S, Yamaguchi Y, Ohashi M (1987) Phys Rev B 36:2181
Hortami M, Sandratskii L, Zahn P, Mertig I (2009) J Appl Phys 105:07E506
Kämmerer S, Thomas A, Hütten A, Reiss G (2004) Appl Phys Lett 85:79
Kubota H, Nakata J, Oogange M, Ando Y, Sakuma A, Miyazaki T (2004) Jpn J Appl Phys 43:L984
Ishikawa T, Marukame T, Kijima H, Matsuda K-I, Uemura T, Yamamoto M (2006) Appl Phys Lett 89:192505
Tsunegi S, Sakuraba Y, Oogane M, Telling ND, Shelford LR, Arenholz E, van der Laan G, Hicken RJ, Takanashi K, Ando Y (2009) J Phys D Appl Phys 42:195004
Taira T, Ishikawa T, Itabashi N, Matsuda K, Uemura T, Yamamoto M (2009) J Phys D Appl Phys 42:084015
Herbot C, Jorge EA, Jordan M (2009) Appl Phys Lett 94:142504
Yakushiji K, Saito K, Mitani S, Takanashi K, Takahashi YK, Hono K (2006) Appl Phys Lett 88:222504
Furubayashi T, Kodama K, Sukegawa H, Takahashi YK, Inomata K, Hono K (2008) Appl Phys Lett 93:122507
Sakuraba Y, Iwase T, Mitani S, Takanashi K (2009) Appl Phys Lett 94:012511
Kodama K, Furubayashi T, Sukegawa H, Nakatani TM, Inomata K, Hono K (2009) J Appl Phys 105:07E905
Nikolaev K, Kolbo P, Pokhil T, Peng X, Chen Y, Ambrose T, Mryasov O (2009) Appl Phys Lett 94:222501
Dong XY, Adelmann C, Xie JQ, Palmstrøm CJ, Lou X, Strand J, Crowell PA, Barnes J-P, Petford-Long AK (2005) Appl Phys Lett 86:102107
Okamura S, Miyazaki A, Sugimoto S, Tezuka N, Inomata K (2005) Appl Phys Lett 86:232503
Tezuka N, Ikeda N, Miyazaki A, Sugimoto S, Kikuchi M, Inomata K (2006) Appl Phys Lett 89:112514
Sakuraba Y, Hattori M, Oogane M, Ando Y, Kato H, Sakuma A, Miyazaki T, Kubota H (2006) Appl Phys Lett 88:192508
Tezuka N, Ikeda N, Sugimoto S, Inomata K (2007) Jpn J Appl Phys 46:L454
Tsunegi S, Sakuraba Y, Oogane M, Takanashi K, Ando Y (2008) Appl Phys Lett 93:112506
Tezuka N, Ikeda N, Mitsuhashi F, Sugimoto S (2009) Appl Phys Lett 94:162504
Yamamoto M, Ishikawa T, Taira T, Li G-f, Matsuda K-I, Uemura T (2010) J Phys Condens Matter 22:164212
Mancoff FB, Bobo JF, Richter OE, Bessho K, Johnson PR, Sinclair R, Nix WD, White RL, Clemens BM (1999) J Mater Res 14:1560
Tanaka CT, Nowak J, Moodera JS (1999) J Appl Phys 86:6239
Soulen RJ Jr, Byers JM, Osofsky MS, Nadgorny B, Ambrose T, Cheng SF, Broussard PR, Tanaka CT, Nowack J, Moodera JS, Barry A, Coey MD (1998) Science 282:85
Jenkins SJ, King DA (2001) Surf Sci 494:L793
Jenkins SJ (2004) Phys Rev B 70:245401
Johnson PR, Kautzky MC, Mancoff FB, Kondo R, Clemens BM, White RL (1996) IEEE Trans Magn 32:4615
Kautzky MC, Mancoff FB, Bobo J-F, Johnson PR, White RL, Clemens BM (1997) J Appl Phys 81:4026
Felser C, Heitkamp B, Kronast F, Schmitz D, Cramm S, Drr HA, Elmers H-J, Fecher GH, Wurmehl S, Block T, Valdaitsev D, Nepijko SA, Gloskovskii A, Jakob G, Schnhense G, Eberhardt W (2003) J Phys Condens Matter 15:7019
Auth N, Jakob G, Block T, Felser C (2003) Phys Rev B 68:024403
Okamura S, Goto R, Sugimoto S, Tezuka N, Inomata K (2004) J Appl Phys 96:6561
Conca A, Jourdan M, Adrian H (2007) J Phys D Appl Phys 40:1534
Kandpal HC, Fecher GH, Felser C (2007) J Magn Magn Mater 310:1626
Gercsi Z, Rajanikanth A, Takahashi YK, Hono K, Kikuchi M, Tezuka N, Inomata K (2006) Appl Phys Lett 89:082512
Marukame T, Ishikawa T, Matsuda K-I, Uemura T, Yamamoto M (2006) J Appl Phys 99:08A904
Ebke D, Thomas A, Hütten A, Balke B, Felser C, Schmalhorst J, Reiss G (2008) Phys Status Solidi (a) 205:2298
Tezuka N, Ikeda N, Sugimoto S, Inomata K (2006) Appl Phys Lett 89:252508
Oogane M, Sakuraba Y, Nakata J, Kubota H, Ando Y, Sakuma A, Miyazaki T (2006) J Phys D Appl Phys 39:834
Butler WH, Zhang X-G, Schulthess TC, MacLaren JM (2001) Phys Rev B 63:054416
Mathon J, Umerski A (2001) Phys Rev B 63:220403(R)
Parkin SSP, Kaiser C, Panchula A, Rice PM, Hughes B, Samant M, Yang SH (2004) Nat Mater 3:862
Yuasa S, Nagahama T, Fukushima A, Suzuki Y, Ando K (2004) Nat Mater 3:868
Miura Y, Uchida H, Oba Y, Nagao K, Shirai M (2007) J Phys Condens Matter 19:365228
Yamamoto M, Marukame T, Ishikawa T, Matsuda K-I, Uemura T, Arita M (2006) J Phys D Appl Phys 39:824
Marukame T, Ishikawa T, Hakamata S, Matsuda K-I, Uemura T, Yamamoto M (2007) Appl Phys Lett 90:012508
Marukame T, Yamamoto M (2007) J Appl Phys 101:083906
Ishikawa T, Hakamata S, Matsuda K-I, Uemura T, Yamamoto M (2008) J Appl Phys 103:07A919
Wang W, Lui E, Kodzuka M, Sukegawa H, Wojcik M, Jedryka E, Wu GH, Inomata K, Mitani S, Hono K (2010) Phys Rev B 81:140402(R)
Sakuraba Y, Izumi K, Iwase T, Bosu S, Saito K, Takanashi K, Miura Y, Futatsukawa K, Abe K, Shirai M (2010) Phys Rev B 82:094444
Nakatani TM, Furubayashi T, Kasai S, Sukegawa H, Takahashi YK, Mitani S, Hono K (2010) Appl Phys Lett 96:212501
Chadov S, Graf T, Chadova K, Dai X, Casper F, Fecher GH, Felser C (2011) Phys Rev Lett 107:047202
Nikolaev K, Anderson P, Kolbo P, Dimitrov D, Xue S, Peng X, Pokhil T, Cho H, Chen Y (2008) J Appl Phys 103:07F533
Carey MJ, Childress JR, Maat S (2008) US Patent 2008/0112095
Carey MJ, Block T, Gurney BA (2004) Appl Phys Lett 85:4442
Lou X (2010) US Patent 2010/0103565
Zhang K, Li M, Zhou Y, Oikawa S, Yamada K, Koui K (2009) US Patent 2009/0257151
Ambrose T, Krebs JJ, Prinz GA (2000) Appl Phys Lett 76:3280
Picozzi S, Continenza A, Freeman AJ (2003) J Phys Chem Solids 64:1697
Hirohata A, Kurebayashi H, Okamura S, Kikuchi M, Masaki T, Nozaki T, Tezuka N, Inomata K (2005) J Appl Phys 97:103714
Hirohata A, Kikuchi M, Masaki T, Nozaki T, Tezuka N, Inomata K, Claydon JS, Xu YB, van der Laan G (2006) Curr Opin Solid State Mater Sci 10:93
Nagao K, Shirai M, Miura Y (2004) J Phys Condens Matter 16:S5725
Hickey MC, Damsgaard CD, Farrer I, Holmes SN, Husmann A, Hansen JB, Jacobsen CS, Ritchie DA, Lee RF, Jones GAC, Pepper M (2005) Appl Phys Lett 86:252106
Van Roy W, De Boeck J, Brijs B, Borghs G (2000) J Cryst Growth 227:862
Van Roy W, Wojcik M, Jedryka E, Nadolski S, Jalabert D, Brijs B, Borghs G, De Boeck J (2003) Appl Phys Lett 83:4214
Van Roy W, De Boeck J, Brijs B, Borghs G (2000) Appl Phys Lett 77:4190
Bach P, Bader AS, Ruster C, Gould C, Becker CR, Schmidt G, Molenkamp LW, Weigand W, Kumpf C, Umbach E, Urban R, Woltersdorf G, Heinrich B (2003) Appl Phys Lett 83:521
Ishida S, Masaki T, Fujii S, Asano S (1998) Physica B 245:1
Schmalhorst J, Kämmerer S, Sacher M, Reiss G, Hütten A, Scholl A (2004) Phys Rev B 70:024426
Acknowledgments
The authors thank B. Balke, A. Beleanu, C. G. F. Blum, F. Casper, S. Chadov, G. H. Fecher, T. Gruhn, V. Jung, J. Kübler, V. Ksenofontov, S. Ouardi, T. D. Schladt, M. Schwall, J. Winterlik, and S. Wurmehl for providing data and for many fruitful discussions. Financial support by the Deutsche Forschungsgemeinschaft (Project TP 2.3-A in research unit FOR 1464 “ASPIMATT”) is gratefully acknowledged.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer Science+Business Media Dordrecht
About this entry
Cite this entry
Graf, T., Felser, C., Parkin, S.S.P. (2016). Heusler Compounds: Applications in Spintronics. In: Xu, Y., Awschalom, D., Nitta, J. (eds) Handbook of Spintronics. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6892-5_17
Download citation
DOI: https://doi.org/10.1007/978-94-007-6892-5_17
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-6891-8
Online ISBN: 978-94-007-6892-5
eBook Packages: Physics and AstronomyReference Module Physical and Materials ScienceReference Module Chemistry, Materials and Physics