Page 26 - Materials Science and Engineering An Introduction
P. 26

xxii  •  List of Symbols


                     (hkil)  =  Miller indices for a crystal-               r  =  reaction rate (17.3)
                             lographic plane, hexagonal                 r A , r C   =   anion and cation ionic radii
                             crystals (3.10)                                   (12.2)
                         I  =  electric current (18.2)                     S  = fatigue stress amplitude (8.8)
                         I  =   intensity of electromagnetic            SEM =   scanning electron microscopy
                             radiation (21.3)                                  or microscope
                         i  =  current density (17.3)                      T  =  temperature
                        i C   =   corrosion current density (17.4)         T c   =  Curie temperature (20.6)
                         J  =   diffusion flux (5.3)                      T C   =  superconducting critical
                         J  =  electric current density (18.3)                 temperature (20.12)
                        K c   =  fracture toughness (8.5)                 T g   =   glass transition temperature
                       K Ic   =   plane strain fracture tough-                 (13.10, 15.12)
                             ness for mode I crack surface                T m   =  melting temperature
                             displacement (8.5)                         TEM =  transmission electron
                         k  =  Boltzmann’s constant (4.2)                        microscopy or microscope
                         k  =  thermal conductivity (19.4)                TS  = tensile strength (6.6)
                         l  =  length                                       t  =  time
                         l c   =  critical fiber length (16.4)             t r   =  rupture lifetime (8.12)
                        ln =  natural logarithm                           U r   =  modulus of resilience (6.6)
                       log =  logarithm taken to base 10                [uyw]  =   indices for a crystallographic
                        M  =  magnetization (20.2)                             direction (3.9)
                       M n   =  polymer number-average           [uvtw], [UVW]  =   indices for a crystallographic
                               molecular weight (14.5)                         direction, hexagonal crystals
                       M w   =  polymer weight-average                         (3.9)
                               molecular weight (14.5)                     V  =   electrical potential difference
                     mol% =  mole percent                                       (voltage) (17.2, 18.2)
                        N  =  number of fatigue cycles (8.8)              V C   =   unit cell volume (3.4)
                       N A   =  Avogadro’s number (3.5)                   V C   =  corrosion potential (17.4)
                        N f   =  fatigue life (8.8)                       V H   =  Hall voltage (18.14)
                         n  =  principal quantum number (2.3)              V i   =  volume fraction of phase i (9.8)
                         n  =   number of atoms per unit cell              y  =  velocity
                             (3.5)                                      vol% =  volume percent
                         n  =   strain-hardening exponent (6.7)           W i   =  mass fraction of phase i (9.8)
                         n  =   number of electrons in an                wt% =  weight percent (4.4)
                               electrochemical reaction (17.2)             x  =  length
                         n  =   number of conducting elec-                 x  =  space coordinate
                             trons per cubic meter (18.7)                  Y  =   dimensionless parameter or
                         n  =  index of refraction (21.5)                      function in fracture toughness
                        n¿  =  for ceramics, the number of                     expression (8.5)
                             formula units per unit cell                   y  =  space coordinate
                             (12.2)                                        z  =  space coordinate
                         n i   =   intrinsic carrier (electron and         a  =   lattice parameter: unit cell y–z
                             hole) concentration (18.10)                       interaxial angle (3.7)
                         P  =  dielectric polarization (18.19)         a, b, g  =  phase designations
                  P–B ratio =  Pilling–Bedworth ratio (17.10)              a l   =   linear coefficient of thermal
                         p  =   number of holes per cubic                      expansion (19.3)
                             meter (18.10)                                 b  =   lattice parameter: unit cell x–z
                        Q  =  activation energy                                interaxial angle (3.7)
                        Q  =   magnitude of charge stored                  g  =   lattice parameter: unit cell x–y
                             (18.18)                                           interaxial angle (3.7)
                         R  =  atomic radius (3.4)                         g  =  shear strain (6.2)
                         R  =  gas constant                                ¢  =   precedes the symbol of a pa-
                     %RA =   ductility, in percent reduction                   rameter to denote finite change
                             in area (6.6)                                 P  =  engineering strain (6.2)
                         r  =  interatomic distance (2.5)                  P  =  dielectric permittivity (18.18)
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