The correlation between mechanical stress and magnetic anisotropy in ultrathin films

The impact of stress-driven structural transitions and of film strain on the magnetic properties of nm ferromagnetic films is discussed. The stress-induced bending of film-substrate composites is analysed to derive information on film stress due to lattice mismatch or due to surface-stress effects. The magneto-elastic coupling in epitaxial films is determined directly from the magnetostrictive bending of the substrate. The combination of stress measurements with magnetic investigations by the magneto-optical Kerr effect (MOKE) reveals the modification of the magnetic anisotropy by film stress. Stress-strain relations are derived for various epitaxial orientations to facilitate the analysis of the substrate curvature. Biaxial film stress and magneto-elastic coupling coefficients are measured in epitaxial Fe films in situ on W single-crystal substrates. Tremendous film stress of more than 10 GPa is measured in pseudomorphic Fe layers, and the important role of film stress as a driving force for the formation of misfit distortions and for inducing changes of the growth mode in monolayer thin films is presented. The direct measurement of the magneto-elastic coupling in epitaxial films proves that the magnitude and sign of the magneto-elastic coupling deviate from the respective bulk value. Even a small film strain of order 0.1% is found to induce a significant change of the effective magneto-elastic coupling coefficient. This peculiar behaviour is ascribed to a second-order strain dependence of the magneto-elastic energy density, in contrast to the linear strain dependence that is valid for bulk samples.

[1]  J. H. Merwe.  Analytical selection of ideal epitaxial configurations and some speculations on the occurrence of epitaxy I. Epitaxy with rectangular interfacial atomic meshes , 1982 .

[2]  H. Elmers,et al.  Perpendicular magnetization and dipolar antiferromagnetism in double layer nanostripe arrays of Fe(110) on W(110) , 1998 .

[3]  R. White,et al.  The Role of Next-Nearest Neighbors in The Neel Model of Surface Anisotropy for BCC Crystals , 1991 .

[4]  R. O'handley,et al.  Determining thin‐film magnetoelastic constants , 1993 .

[5]  Thompson,et al.  Evidence for strong surface magnetoelastic anisotropy in epitaxial Cu/Ni/Cu(001) sandwiches. , 1996, Physical review. B, Condensed matter.

[6]  G. K. Walters,et al.  Spin and angle‐resolved photoemission studies of one to three monolayer films of p(1×1) Fe on W(100) , 1991 .

[7]  Wu,et al.  State-tracking first-principles determination of magnetocrystalline anisotropy. , 1993, Physical review letters.

[8]  L. Callegaro,et al.  Stress dependence of coercivity in Ni films: Thin film to bulk transition , 1996 .

[9]  B. Santo,et al.  Solid State , 2012 .

[10]  A. Enders,et al.  Magnetization, magnetostriction and film stress of Fe monolayers on W(100) , 1998 .

[11]  D. Reuter,et al.  Surface Diffusion of 3d-Metals on W(110) , 1997 .

[12]  A. Itoh,et al.  Magnetostriction and internal stress in GdFe amorphous films with perpendicular anisotropy prepared by RF diode sputtering , 1983 .

[13]  G. Güntherodt,et al.  Thickness dependence of the spin- and angle-resolved photoemission of ultrathin, epitaxial Ni(111)/W(110) layers , 1989 .

[14]  J. Renard,et al.  Magnetic surface anisotropy of transition metal ultrathin films , 1989 .

[15]  J. W. Matthews,et al.  Defects in epitaxial multilayers: II. Dislocation pile-ups, threading dislocations, slip lines and cracks , 1975 .

[16]  P. Squire,et al.  Fibre-optic dilatometer for measuring magnetostriction in ribbon samples , 1987 .

[17]  D. Reuter,et al.  Anisotropic diffusion of 3d metals on W(110): Competition between crystalline structure and surface steps , 1998 .

[18]  G. Waller,et al.  Periodic lattice distortions in epitaxial films of Fe(110) on W(110) , 1982 .

[19]  A. Freeman,et al.  Strain- and overlayer-induced in-plane magnetocrystalline anisotropy: First-principles determination for fcc (110) Co thin films , 1998 .

[20]  Chang.  Magnetostrictive surface anisotropy of epitaxial multilayers. , 1993, Physical review. B, Condensed matter.

[21]  Marcus,et al.  Magnetovolume instabilities and ferromagnetism versus antiferromagnetism in bulk fcc iron and manganese. , 1989, Physical review. B, Condensed matter.

[22]  S. Bader,et al.  Magneto-Optical Effects in Ultrathin Magnetic Structures , 1994 .

[23]  M. Weber,et al.  Magnetoelastic coupling of Fe at high stress investigated by means of epitaxial Fe(001) films , 1996 .

[24]  M. Hove,et al.  Interface Structures of Ordered Fe and Gd Overlayers on W(110) from Photoelectron Diffraction , 1997 .

[25]  R. Abermann,et al.  Measurements of the intrinsic stress in thin metal films , 1990 .

[26]  W. Erley,et al.  Adsorbate-induced surface stress: CO on Ni(100) and Ni(111) , 1994 .

[27]  Schulz,et al.  Crossover from in-plane to perpendicular magnetization in ultrathin Ni/Cu(001) films. , 1994, Physical review. B, Condensed matter.

[28]  Wu,et al.  First-principles theory of surface magnetocrystalline anisotropy and the diatomic-pair model. , 1993, Physical review. B, Condensed matter.

[29]  Kohlhepp,et al.  Epitaxial strain and magnetic anisotropy in ultrathin Co films on W(110). , 1995, Physical review. B, Condensed matter.

[30]  Song,et al.  Surface magnetoelastic coupling coefficients of single-crystal fcc Co thin films. , 1994, Physical review. B, Condensed matter.

[31]  S. Drosdziok,et al.  A method for ultrasensitive magnetostriction measurement , 1973 .

[32]  Cynthia A. Volkert,et al.  Stress and plastic flow in silicon during amorphization by ion bombardment , 1991 .

[33]  A. Enders,et al.  The correlation between mechanical stress and magnetic properties of ultrathin films , 1998 .

[34]  F. Jona,et al.  The strain tensor in a general pseudomorphic epitaxial film , 1994 .

[35]  E duTrémoletdeLacheisserie.  Definition and measurement of the surface magnetoelastic coupling coefficients in thin films and multilayers. , 1995 .

[36]  Sander,et al.  Film Stress and Domain Wall Pinning in Sesquilayer Iron Films on W(110). , 1996, Physical review letters.

[37]  R. Colton,et al.  Magnetostriction measurements using a tunneling-tip strain detector , 1990 .

[38]  G. A. Prinz,et al.  Magnetic properties of single‐crystal {110} iron films grown on GaAs by molecular beam epitaxy (invited) , 1982 .

[39]  J. Kranz,et al.  Messung der Magnetostriktionskonstanten des Kobalts als Funktion der Temperatur , 1969 .

[40]  H. Lachowicz,et al.  Magnetostriction of amorphous magnetic materials , 1984 .

[41]  Matthew T. Johnson,et al.  Correlation between structure and magnetic anisotropies of Co on Cu(110) , 1998 .

[42]  J. C. Peuzin,et al.  Magnetostriction and internal stresses in thin films: the cantilever method revisited , 1994 .

[43]  M. Farle.  Ferromagnetic resonance of ultrathin metallic layers , 1998 .

[44]  A. B. Smith,et al.  A Ferromagnetic Resonance Method of Measuring Magnetostriction Constants , 1968 .

[45]  P. Hansma,et al.  An atomic-resolution atomic-force microscope implemented using an optical lever , 1989 .

[46]  H. Ibach,et al.  Surface and Interface Stress in Epitaxial Growth , 1996 .

[47]  R. Cowburn,et al.  High sensitivity measurement of magnetic fields using microcantilevers , 1997 .

[48]  Huang,et al.  Giant magnetostriction of amorphous TbxFe1-x (0.10 , 1995, Physical review. B, Condensed matter.

[49]  U. Gradmann.  Magnetism in Ultrathin Transition Metal Films , 1996 .

[50]  Marcus,et al.  Strains in epitaxial films: The general case. , 1995, Physical review. B, Condensed matter.

[51]  Güntherodt,et al.  Magnetic anisotropies of ultrathin Co films on Cu(1 1 13) substrates. , 1994, Physical review. B, Condensed matter.

[52]  T. Masumoto,et al.  Magnetostriction of amorphous Fe0.80P0.13C0.07 ribbon , 1975 .

[53]  P. Feibelman.  Concepts in Surface Physics. By M. C. Desjonquéres and D. Spanjaard, Springer Series in Surface Science, Vol. 30, Springer. Berlin 1993, XIII, 565 pp., hardcover, DM 148.00, ISBN 3–540–56506–X , 1995 .

[54]  Chen,et al.  Surface-step-induced magnetic anisotropy in thin epitaxial Fe films on W(001). , 1992, Physical review letters.

[55]  Andrew Zangwill.  Physics at Surfaces , 1988 .

[56]  Hillebrands,et al.  Origin of very large in-plane anisotropies in (110)-oriented Co/Pd and Co/Pt coherent superlattices. , 1993, Physical review. B, Condensed matter.

[57]  A. Enders,et al.  Stress and structure of Ni monolayers on W(110): The importance of lattice mismatch , 1998 .

[58]  M. Hasegawa,et al.  Perpendicular magnetic anisotropy of PdCo alloy in multilayered structure , 1991 .

[59]  G. Stoney.  The Tension of Metallic Films Deposited by Electrolysis , 1909 .

[60]  A. Siemko,et al.  Comments on the indirect measurement of magnetostriction in low-magnetostrictive metallic glasses , 1987 .

[61]  Schmitt,et al.  Thickness dependence of the electronic structure of ultrathin, epitaxial Ni(111)/W(110) layers. , 1988, Physical review. B, Condensed matter.

[62]  Golovchenko,et al.  Direct measurement of crystal surface stress. , 1990, Physical review letters.

[63]  Harald Ibach,et al.  STRESS RELIEF IN RECONSTRUCTION , 1997 .

[64]  R. Hamming,et al.  Measurement of Magnetostriction in Single Crystals , 1953 .

[65]  H. Szymczak.  Elastic and magnetoelastic behaviour of nanoscale magnetic multilayers , 1994 .

[66]  S. Timoshenko,et al.  THEORY OF PLATES AND SHELLS , 1959 .

[67]  H. Elmers,et al.  Magnetic anisotropies in Fe(110) films on W(110) , 1990 .

[68]  R. Smoluchowski,et al.  The Magnetostriction of Single Crystals of Iron-Silicon Alloys , 1951 .

[69]  Acet,et al.  High-temperature moment-volume instability and anti-Invar of gamma -Fe. , 1994, Physical review. B, Condensed matter.

[70]  M. Vázquez,et al.  Measurement of the saturation magnetostriction constant of amorphous wire , 1990 .

[71]  L. M. Falicov,et al.  Surface, interface, and thin-film magnetism , 1990 .

[72]  P. Marcus.  Epitaxial strain and epitaxial bending , 1996 .

[73]  A. Brenner,et al.  Calculation of stress in electrodeposits from the curvature of a plated strip , 1949 .

[74]  Dreyer,et al.  Nanostructural and local electronic properties of Fe/W(110) correlated by scanning tunneling spectroscopy. , 1996, Physical review. B, Condensed matter.

[75]  R. M. Bozorth,et al.  ANOMALOUS THERMAL EXPANSION AND MAGNETOSTRICTION OF SINGLE-CRYSTAL DYSPROSIUM , 1965 .

[76]  E. Lee,et al.  The magnetostriction of nickel , 1971, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[77]  U. Köhler,et al.  Misfit-related effects in the epitaxial growth of iron on W(110) , 1995 .

[78]  Eckhard Quandt,et al.  Fabrication and simulation of magnetostrictive thin-film actuators , 1995 .

[79]  A. Enders,et al.  Stranski-Krastanov layers of Fe on W(1 1 0): A combined MOKE, LEED, SAM and stress measurement investigation , 1998 .

[80]  K. Rao,et al.  Direct measurements of magnetostrictive process in amorphous wires using a scanning tunneling microscope (abstract) , 1994 .

[81]  Andrew C. Tam,et al.  A new high-precision optical technique to measure magnetostriction of a thin magnetic film deposited on a substrate , 1989 .

[82]  R. Yamamoto,et al.  Theory of the strain-induced magnetic anisotropy of transition metal-noble metal multilayers , 1993 .

[83]  William D. Nix,et al.  Stresses and deformation processes in thin films on substrates , 1988 .

[84]  Henryk Szymczak,et al.  Finite-element modelling of magnetostrictive bending of a coated cantilever , 1997 .

[85]  Eckhard Quandt,et al.  Giant magnetostrictive thin film materials and applications , 1997 .

[86]  R. Nichols,et al.  In situ monitoring of intrinsic stress changes during copper electrodeposition on Au(111) , 1997 .

[87]  H. A. Pidgeon,et al.  Magneto-Striction with Special Reference to Pure Cobalt , 1919 .

[88]  David L. Atherton,et al.  CORRIGENDUM: Theory of the magnetisation process in ferromagnets and its application to the magnetomechanical effect , 1984 .

[89]  A. Freeman,et al.  Theoretical studies of the magneto‐crystalline anisotropy: Monolayer Co , 1993 .

[90]  Grossmann,et al.  Giant Surface Stress in Heteroepitaxial Films: Invalidation of a Classical Rule in Epitaxy. , 1996, Physical review letters.

[91]  MacLaren,et al.  Theory of magnetic interface anisotropy. , 1993, Physical review. B, Condensed matter.

[92]  D. Bower.  The magnetostriction coefficients of nickel , 1971, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[93]  H. Kronmüller,et al.  The Effect of Tensile Stresses on the Magnetic Properties of Co58Fe5Ni10Si11B16 Amorphous Alloys , 1983, November 16.

[94]  Tetsuo Fukuda,et al.  The Analysis of Bending Stress and Mechanical Property of Ultralarge Diameter Silicon Wafers at High Temperatures , 1996 .

[95]  H. B. Huntington.  The Elastic Constants of Crystals , 1958 .

[96]  F. Jona,et al.  THE IMPORTANCE OF STRAIN ANALYSIS IN STUDIES OF PSEUDOMORPHIC GROWTH , 1997 .

[97]  R. B. Givens,et al.  A microelectromechanical‐based magnetostrictive magnetometer , 1996 .

[98]  J. Coey,et al.  Giant energy product in nanostructured two-phase magnets. , 1993, Physical review. B, Condensed matter.

[99]  L. B. Freund,et al.  Real-time stress evolution during Si1-xGex Heteroepitaxy: Dislocations, islanding, and segregation , 1997 .

[100]  H. Hillmann,et al.  Magnetostriction Measurements on Co-Base Amorphous Alloys , 1979, October 16.

[101]  D. Goodman,et al.  Overlayer growth and chemisorptve properties of ultra-thin Fe films on W(110) and W(100) , 1990 .

[102]  A. Enders,et al.  Stress evolution during the growth of ultrathin layers of iron and iron silicide on Si(111) , 1995 .

[103]  Anthony Dandridge,et al.  Optimization of the fiber/metallic glass bond in fiber-optic magnetic sensors , 1985 .

[104]  S. Iwata,et al.  Measurement of Magnetostriction Constants in (111)-Oriented Polycrystalline PdCo Alloy and Multilayered Films , 1993 .

[105]  W. Erley,et al.  ADSORBATE-INDUCED SURFACE STRESS MEASUREMENTS: A NEW METHOD FOR MONITORING IN-SITU SURFACE REACTIONS , 1995 .

[106]  A. Hernando,et al.  Magnetostriction behavior of Co‐Fe‐Si‐B amorphous alloys , 1990 .

[107]  C. Kittel,et al.  Physical Theory of Ferromagnetic Domains , 1949 .

[108]  A. Enders,et al.  Anisotropic surface stress on W(110) , 1999 .

[109]  J. Korecki,et al.  In-plane magnetic surface anisotropies in Fe(110) , 1986 .

[110]  Marcus.  Erratum: Magnetostrictive bending of a film-substrate system , 1996, Physical review. B, Condensed matter.

[111]  S. Tsunashima,et al.  Perpendicular magnetic anisotropy of PdCo and PtCo based multilayers , 1990, International Conference on Magnetics.

[112]  R. O'handley,et al.  Magnetoelastic Interactions at Surfaces and Interfaces , 1991 .

[113]  L. Callegaro,et al.  A CELL FOR IN-PLANE, ISOTROPIC EXTERNAL STRESSING OF THIN FILMS : INVERSE MAGNETOELASTIC EFFECTS , 1997 .

[114]  Shigeru Tsunashima,et al.  Measurement of magnetostriction constants in polycrystalline alloy and multilayer films of PdCo and PtCo , 1993 .

[115]  Marcus.  Magnetostrictive bending of a film-substrate system. , 1996, Physical review. B, Condensed matter.

[116]  R. Bozorth.  Magnetostriction and Crystal Anisotropy of Single Crystals of Hexagonal Cobalt , 1954 .

[117]  U. Gradmann.  Chapter 1 Magnetism in ultrathin transition metal films , 1993 .

[118]  He,et al.  Magnetic anisotropy in epitaxial Co superlattices. , 1990, Physical review. B, Condensed matter.

[119]  R. G. Priest,et al.  Optical fiber sensor technology , 1982, 1985 International Electron Devices Meeting.

[120]  U. Gradmann,et al.  Scattering phases in low energy electron diffraction from spot profile analysis and from multiple scattering theory , 1991 .

[121]  Asano,et al.  Magnetoelastic contribution to the interface anisotropy of Pd/Co metallic multilayers. , 1996, Physical review. B, Condensed matter.

[122]  A. Freeman,et al.  MAGNETOCRYSTALLINE ANISOTROPY OF INTERFACES - FIRST-PRINCIPLES THEORY FOR CO-CU INTERFACE AND INTERPRETATION BY AN EFFECTIVE LIGAND INTERACTION-MODEL , 1994 .

[123]  R. McMichael.  Method for determining both magnetostriction and elastic modulus by ferromagnetic resonance , 1994 .

[124]  C. E. Bach,et al.  Potential-induced stress in the solid-liquid interface: Au(111) and Au(100) in an HClO4 electrolyte , 1997 .

[125]  A. Enders,et al.  High coercive field and film stress for epitaxial monolayers of Fe on W(110) , 1996 .

[126]  T. Silva,et al.  Magnetostriction characteristics of ultrathin permalloy films , 1996 .

[127]  Sander,et al.  Experimental determination of adsorbate-induced surface stress: Oxygen on Si(111) and Si(100). , 1991, Physical review. B, Condensed matter.

[128]  Comments on “Magnetostriction and internal stresses in thin films: the cantilever method revisited” , 1996 .

[129]  Timothy P. Weihs,et al.  Mechanical deflection of cantilever microbeams: A new technique for testing the mechanical properties of thin films , 1988 .

[130]  K. Kinosita.  Recent developments in the study of mechanical properties of thin films , 1972 .

[131]  D. Eastman.  Magneto-Elastic Coupling in RbMnF 3 , 1967 .

[132]  O. Hjortstam,et al.  MAGNETIC ANISOTROPY AND MAGNETOSTRICTION IN TETRAGONAL AND CUBIC NI , 1997 .

[133]  C. Vittoria,et al.  The measurement of magnetostriction constants of thin films using planar microwave devices and ferromagnetic resonance , 1992 .

[134]  J. Nye.  Physical Properties of Crystals: Their Representation by Tensors and Matrices , 1957 .

[135]  Nielsen,et al.  Temperature, stress, and structural-relaxation dependence of the magnetostriction in (Co0.94/BFe0.06)75/BSi15B10 glasses. , 1987, Physical review. B, Condensed matter.

[136]  F. J. V. Preissig.  Applicability of the classical curvature-stress relation for thin films on plate substrates , 1989 .

[137]  A. Itoh,et al.  Magnetostriction and In-situ measurement of stress of Co/Pd cosmopositionally modulated multilayer films during fabrication , 1990, International Conference on Magnetics.

[138]  K. Röll,et al.  Analysis of stress and strain distribution in thin films and substrates , 1976 .

[139]  S. Tsunashima,et al.  Perpendicular magnetic anisotropy of Pd/Co- and Pd/Ni-multilayers☆ , 1992 .

[140]  A. Hernando,et al.  MAGNETIC ANISOTROPY AND MAGNETOSTRICTION IN AN FE-RICH AMORPHOUS FILM : ANALYSIS OF THE CANTILEVER METHOD , 1998 .

[141]  Flemming Besenbacher,et al.  Scanning tunnelling microscopy studies of metal surfaces , 1996 .

[142]  S. Timoshenko,et al.  Theory of elasticity , 1975 .

[143]  H. Elmers,et al.  The ferromagnetic monolayer Fe(110) on W(110) , 1990 .

[144]  Schell-Sorokin Aj,et al.  Mechanical stresses in (sub)monolayer epitaxial films. , 1990 .

[145]  H. Elmers,et al.  Magnetism and growth in pseudomorphic Fe films on W(100) , 1994 .

[146]  H. Fujiwara,et al.  Magnetocrystalline anisotropy and magnetostriction of Pd-Co alloys , 1983 .

[147]  Walter A. Harrison,et al.  Solid state theory , 1970 .

[148]  A. Clark,et al.  GIANT ROOM-TEMPERATURE MAGNETOSTRICTIONS IN TbFe$sub 2$ AND DyFe . , 1972 .

[149]  Richter,et al.  Spin anisotropy of ferromagnetic films. , 1986, Physical review letters.

[150]  W. Brantley.  Calculated elastic constants for stress problems associated with semiconductor devices , 1973 .

[151]  R. Allenspach.  Ultrathin films: magnetism on the microscopic scale , 1994 .

[152]  J. W. Matthews.  Accomodation of misfit between single-crystal films of nickel and copper , 1970 .

[153]  G. Stroink,et al.  Magnetostriction measurements of ribbon samples using a fiber‐optic interferometer , 1992 .

[154]  Johansson,et al.  Crystal structure and elastic-constant anomalies in the magnetic 3d transition metals. , 1994, Physical review. B, Condensed matter.

[155]  C. Rossel,et al.  Torsion cantilever as magnetic torque sensor , 1998 .

[156]  A. Freeman,et al.  Relativistic spin-polarized theory of magnetoelastic coupling and magnetic anisotropy strain dependence: Application to Co/Cu(001) , 1997 .

[157]  T. Oguchi,et al.  Surface atomic forces and multilayer relaxation of W(001), W(110) and Fe/W(110) , 1998 .

[158]  A. E. Clark,et al.  Chapter 7 Magnetostrictive rare earth-Fe2 compounds , 1980 .

[159]  W. P. Mason.  A Phenomenological Derivation of the First- and Second-Order Magnetostriction and Morphic Effects for a Nickel Crystal , 1951 .

[160]  L. T. Baczewski,et al.  Magnetoelastic properties of nickel thin films , 1996 .

[161]  A. Enders,et al.  Strain dependence of the magnetic properties of nm Fe films on W(100) , 1999 .

[162]  J. H. Merwe.  Analytical selection of ideal epitaxial configurations and some speculations on the occurrence of epitaxy III. Epitaxy of thin (111) f.c.c. films on (110) b.c.c. substrates by coherence , 1982 .

[163]  D. Spanjaard,et al.  Concepts in surface physics , 1993 .

[164]  Bauer,et al.  Electronic properties of ultrathin nickel films on W(110). , 1990, Physical review. B, Condensed matter.

[165]  A. Witvrouw,et al.  Bulk and interface stresses in silver-nickel multilayered thin-films , 1993 .

[166]  J. Bland,et al.  Ultrathin Magnetic Structures III , 1994 .

[167]  H. Elmers,et al.  NANOSCALE SPATIAL SWITCHING OF MAGNETIC ANISOTROPY IN PSEUDOMORPHIC FE(110) ON W(110) , 1997 .

[168]  E. Klokholm,et al.  The measurement of magnetostriction in ferromagnetic thin films , 1976 .

[169]  N. Amer,et al.  Novel optical approach to atomic force microscopy , 1988 .

[170]  Kaufmann,et al.  Mössbauer analysis of ultrathin ferromagnetic Fe(110) films on W(110) coated by Ag. , 1989, Physical review. B, Condensed matter.

[171]  Magnetostrictive torsional strain in transverse-field-annealed Metglas , 1985, Physical review. B, Condensed matter.

[172]  Liu,et al.  Magnetic Frustration in Ultrathin Fe Films. , 1995, Physical review letters.

[173]  F. Humphrey,et al.  Magnetostriction measurement of amorphous wires by means of small‐angle magnetization rotation , 1990 .

[174]  P. Bruno.  Dipolar magnetic surface anisotropy in ferromagnetic thin films with interfacial roughness , 1988 .

[175]  G. Zydzik,et al.  Magnetostriction measurements with a recording rotating field magnetostrictometer , 1977 .

[176]  D. Sander,et al.  Adsorbate-induced surface stress: sulfur, oxygen and carbon on Ni(100) , 1992 .

[177]  J. W. Matthews,et al.  Defects in epitaxial multilayers: I. Misfit dislocations* , 1974 .

[178]  Claude Chappert,et al.  Magnetic anisotropy in metallic ultrathin films and related experiments on cobalt films (invited) , 1988 .

[179]  A simple technique to measure stress in ultrathin films during growth , 1995 .

[180]  R. Somekh,et al.  Measurement of the saturation magnetostriction constant of Co-rich amorphous films , 1993 .

[181]  William D. Nix,et al.  Mechanical properties of thin films , 1989 .

[182]  Reinhold Koch,et al.  The intrinsic stress of polycrystalline and epitaxial thin metal films , 1994 .

[183]  A. Tam,et al.  Precise measurements of a magnetostriction coefficient of a thin soft-magnetic film deposited on a substrate , 1988 .

[184]  Warren P. Mason,et al.  Derivation of Magnetostriction and Anisotropic Energies for Hexagonal, Tetragonal, and Orthorhombic Crystals , 1954 .

[185]  R. Koch,et al.  Magnetization, magnetostriction and intrinsic stress of polycrystalline Fe films measured by a UHV cantilever beam technique , 1995 .

[186]  E. Fawcett.  Magnetostriction of Paramagnetic Transition Metals. I. Group 4 - Ti and Zr; Group 5 - V, Nb, and Ta; Group 6 - Mo and W , 1970 .

[187]  H. Ebert.  Magneto-optical effects in transition metal systems , 1996 .

[188]  R. O'handley,et al.  Strained layers and magnetoelastic coupling , 1992 .

[189]  F. Jona,et al.  Films in Tetragonal States Produced by Epitaxial Strain , 1994 .

[190]  C. D. England,et al.  Magnetocrystalline and magnetoelastic anisotropy in epitaxial Co/Pd superlattices , 1991 .

[191]  L. Néel.  Anisotropie magnétique superficielle et surstructures d'orientation , 1954 .

[192]  R. M. Potemski,et al.  Film stress of sputtered W/C multilayers and strain relaxation upon annealing , 1994 .

[193]  J. W. Matthews,et al.  Defects in epitaxial multilayers: III. Preparation of almost perfect multilayers , 1976 .

[194]  N. Amer,et al.  Optical‐beam‐deflection atomic force microscopy: The NaCl (001) surface , 1990 .

[195]  J. Bansmann,et al.  Rotation of the easy-magnetization direction upon the phase transition from thin iron films to islands on W(110) , 1998 .

[196]  Weber,et al.  UHV cantilever beam technique for quantitative measurements of magnetization, magnetostriction, and intrinsic stress of ultrathin magnetic films. , 1994, Physical review letters.

[197]  W. Döring,et al.  Die Richtungsabhängigkeit der Magnetostriktion , 1960 .

[198]  A. Freeman,et al.  First principles determinations of magnetostriction in transition metals (invited) , 1996 .

[199]  H. Ibach,et al.  Adsorbate‐induced surface stress , 1994 .

[200]  R. Tromp,et al.  Measurement of surface stress during epitaxial growth of Ge on arsenic terminated Si(001) , 1994 .

[201]  Anders Beckman,et al.  Secondary effects , 1975, SIGP.

[202]  Sun,et al.  Surface magnetoelastic coupling. , 1991, Physical review letters.

[203]  Magnetocrystalline and magnetoelastic anisotropies in (110) bcc thin films and superlattices , 1995 .

[204]  T. Fukuda.  The Relationship between the Bending Stress in Silicon Wafers and the Mechanical Strength of Silicon Crystals , 1995 .

[205]  P. M. Marcus.  Magnetostrictive bending of a cantilevered film-substrate system , 1997 .

[206]  Harald Ibach,et al.  The role of surface stress in reconstruction, epitaxial growth and stabilization of mesoscopic structures , 1997 .

[207]  J. H. Merwe.  Analytical selection of ideal epitaxial configurations and some speculations on the occurrence of epitaxy II. Epitaxy of (111) f.c.c. overlayers on (110) b.c.c. substrates , 1982 .

[208]  Kelly,et al.  Prediction and confirmation of perpendicular magnetic anisotropy in Co/Ni multilayers. , 1992, Physical review letters.

[209]  Robert C. O'Handley,et al.  Giant surface magnetostriction in polycrystalline Ni and NiFe films , 1994 .

[210]  Adrian P. Sutton,et al.  Electronic Structure of Materials , 1993 .

[211]  E. van de Riet.  Deflection of a substrate induced by an anisotropic thin‐film stress , 1994 .

[212]  É. D. Lacheisserie,et al.  Answer to comments on “Magnetostriction and internal stresses in thin films: the cantilever method revisited” , 1996 .

[213]  J. Wenda,et al.  Measurement of the saturation magnetostriction of a thin amorphous film by means of small angle magnetization oscillation , 1987 .

[214]  P. Bruno.  Magnetic surface anisotropy of cobalt and surface roughness effects within Neel's model , 1988 .

[215]  P. Flinn,et al.  Measurement and Interpretation of stress in aluminum-based metallization as a function of thermal history , 1987, IEEE Transactions on Electron Devices.

[216]  A. Enders,et al.  Mechanical stress and magnetism of ferromagnetic monolayers , 1998 .

[217]  G. Guo,et al.  Strain, interdiffusion, magnetism and magnetic anisotropy in Cu/Ni/Cu (0 0 1) sandwiches , 1997 .

[218]  A. Clark,et al.  Magnetostriction in Cubic Néel Ferrimagnets, with Application to YIG , 1963 .

[219]  A. Freeman,et al.  First principles determination of magnetostriction in bulk transition metals and thin films , 1997 .

[220]  M. Wuttig,et al.  Strain-induced perpendicular magnetic anisotropy in ultrathin Ni films on Cu3Au(0 0 1) , 1997 .