上海交通大学：《材料组织结构表征》课程教学资源（课件讲义）X射线衍射6-晶格参数的精确测定

Profile h k 2theta d(A) a(A) 1 1 28.3699 3.14332 5.44439 2 0 47.238 1.92256 5.43782 4000- 2000 12343454565 10 56.06 1.63912 5.43635 69.0791 1.35858 5.43432 3 76.3222 1.24666 5.43406 2 2 87.9814 1.10905 5.43321 1 1 94.903 1.04557 5.43294 4 0 106.6626 0.96033 5.43245 323 114.0568 0.91816 5.43191 0 127.5153 0.85879 5.43146 3 136.8696 0.82826 5.43126 60 100 120

h k l 2theta d(A) a(A) 1 1 1 28.3699 3.14332 5.44439 2 2 0 47.238 1.92256 5.43782 3 1 1 56.06 1.63912 5.43635 4 0 0 69.0791 1.35858 5.43432 3 3 1 76.3222 1.24666 5.43406 4 2 2 87.9814 1.10905 5.43321 5 1 1 94.903 1.04557 5.43294 4 4 0 106.6626 0.96033 5.43245 5 3 1 114.0568 0.91816 5.43191 6 2 0 127.5153 0.85879 5.43146 5 3 3 136.8696 0.82826 5.43126

误差来源 λ d 2sine △几 λ△0cos& △d= 2sin0 2sin2 0 △d △入 △0cosθ d λ sinθ

误差来源       2 2sin cos 2sin    d    2sin d       sin  cos     d d

1.0 不 △sin0 0.8- 0 uis 0.6- △0→ 0.4- 0.2 0.0 0 20 40 60 80 0(degrees) △d △2 △0cos0 The fractional error approaches d 几 sin0 zero as 0 approaches 900

     sin  cos     d d The fractional error approaches zero as  approaches 90o

10 λcos0 od o0 2 sin2 0 8 The fractional error approaches 6 zero as 0 approaches 90. 00=0.01° 4- σ0=0.02° 2 o0=0.005° 0 0 10 20 30 40 50 60 70 80 90 Bragg angle,θ(deg)

The fractional error approaches zero as  approaches 90o