(CrystalSystemand BravaisLattice)3.晶系与布拉菲点阵七个晶系,14个布拉菲点阵立方Cubica=b=c, α=β==90°aaaSimpleBody-centeredFace-centered正方Tetragonala=b± c, α=β==90°aSimpleBody-centered
立方Cubic a = b = c, a = b = g = 90 Simple Body-centered Face-centered a a a 正方Tetragonal a = b c, a = b = g = 90 a a c Simple Body -centered 3.晶系与布拉菲点阵(Crystal System and Bravais Lattice) 七个晶系,14个布拉菲点阵
斜方(正交)Orthorhombicab±c, α=β==90°bSimpleBase-centeredBody-centeredFace-centered菱方Rhombohedrala=b=c, α=β= 90°aαaa
斜方(正交) Orthorhombic a b c, a = b = g = 90 Simple Base-centered Body -centered Face –centered c a b a = b = c, a = b = g 90 菱方Rhombohedral a a a a a
Q:立方和正方(四方)为何没有底心点阵?四方底心四方简单Q:立方为何没有面心点阵?四方体心四方面心
Q:立方和正方(四方)为何没有底心点阵? Q:立方为何没有面心点阵?
六方Hexagonala=b±c, α=β=90° =120°-h三斜Triclinicabc, αβ90g单斜Monoclinica±bc,β==90°±αSimpleBase-centered
单斜Monoclinic a = b c, a = b = 90 , g = 120 a b c, b = g = 90 a a b c, a b g 90 六方Hexagonal a c 三斜Triclinic b c a a Simple Base-centered b a b c a g
布拉菲点阵符晶格内晶系点阵常数结点坐标号点阵结点数000简单立方P1立方a=b=c000%%%12体心立方Cubicα=β==90°000.%%0,F4面心立方%0%,0%%正方简单正方P1a=btc000(四方)21=β==90°体心正方000,%%%Tetragonal000简单正交P1000, %%%12体心正交正交 (斜方)abc000%%0C2底心正交α=β==90°Orthorhombic000.%%0面心正交F4%0%.0%%菱方(三方)a=b=c简单菱方1000pα=β=±90°Trigonala=bt c六方α=β=90°简单六方P1000Hexagonal=120°单斜简单单斜P1000a+btcC2底心单斜==90°β000.%%0Monoclinic三斜a+cP1简单三斜000900Triclinic
晶系 点阵常数 布拉菲 点阵 点阵符号 晶格内 结点数 结点坐标 立方 Cubic a=b=c α=β=γ=90º 简单立方 体心立方 面心立方 PIF 124 0 0 0 0 0 0, ½ ½ ½ 0 0 0, ½ ½ 0, ½ 0 ½ , 0 ½ ½ 正方 (四方 ) Tetragonal a=b≠ c α=β=γ=90º 简单正方 体心正方 PI 12 0 0 0 0 0 0, ½ ½ ½ 正交(斜方) Orthorhombic a ≠ b≠ c α=β=γ=90º 简单正交 体心正交 底心正交 面心正交 PICF 1224 0 0 0 0 0 0, ½ ½ ½ 0 0 0, ½ ½ 0 0 0 0, ½ ½ 0, ½ 0 ½ , 0 ½ ½ 菱方 (三方 ) Trigonal a=b=c α=β=γ ≠ 90º 简单菱方 p 1 0 0 0 六方 Hexagonal a=b≠ c α=β=90º γ=120º 简单六方 P 1 0 0 0 单斜 Monoclinic a ≠ b≠ c α= γ = 90º ≠ β 简单单斜 底心单斜 PC 12 0 0 0 0 0 0, ½ ½ 0 三斜 Triclinic a ≠ b≠ c α ≠ β ≠ γ ≠ 90º 简单三斜 P 1 0 0 0