●a Chapter vil solid State all planes in a set are identical ☆ The planes are“ imaginary The perpendicular distance between pairs of adjacent planes is the d-spacing Need to label planes to be able to identify them Find intercepts on a,b,C:1/4,2/3,1/2 R Take reciprocals 4 C 3/2.2 M Multiply up A tegers: 83 4) [if necessary 20218/21 Chemistry Departme nt of Fudan University
Physical ChemistryI Chapter VII Solid State 2021/8/21 Chemistry Department of Fudan University 26 ❖ All planes in a set are identical ❖ The planes are “imaginary” ❖ The perpendicular distance between pairs of adjacent planes is the d-spacing ❖ Need to label planes to be able to identify them Find intercepts on a,b,c: 1/4, 2/3, 1/2 Take reciprocals 4, 3/2, 2 Multiply up to integers: (8 3 4) [if necessary]
●a Chapter vil solid State General label is(h k I)which intersects at a/h, b/k, c/ (hkl)is the MILLER INdEX of that plane plane perpendicular to y cuts at oo. 1 ☆→>(010) plane This diagonal cuts at 1, 1,oo →(110) plane NB an index o means that the plane is parallel to that axis X 20218/21 Chemistry Departme nt of Fudan University
Physical ChemistryI Chapter VII Solid State 2021/8/21 Chemistry Department of Fudan University 27 ❖Plane perpendicular to y cuts at , 1, ❖→ (0 1 0) plane General label is (h k l) which intersects at a/h, b/k, c/l (hkl) is the MILLER INDEX of that plane. This diagonal cuts at 1, 1, → (1 1 0) plane NB an index 0 means that the plane is parallel to that axis
Physical Chemistry Chapter vil solid State Using the same set of axes draw the planes with the following Miller indices: (001) (111) X 20218/21 Chemistry Departme nt of Fudan University
Physical ChemistryI Chapter VII Solid State 2021/8/21 Chemistry Department of Fudan University 28 Using the same set of axes draw the planes with the following Miller indices: (0 0 1) (1 1 1)
Physical Chemistry Chapter vil solid State Using the same set of axes draw the planes with the following Miller indices (001) (111) 20218/21 Chemistry Departme nt of Fudan University
Physical ChemistryI Chapter VII Solid State 2021/8/21 Chemistry Department of Fudan University 29 Using the same set of axes draw the planes with the following Miller indices: (0 0 1) (1 1 1)
●a Chapter vil solid State Examples of miller indices (100 L (200 (110) 20218/21 Chemistry Departme nt of Fudan University
Physical ChemistryI Chapter VII Solid State 2021/8/21 Chemistry Department of Fudan University 30 (100) (111) (200) (110)