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Crystals

Chapter 19: INDEX
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About This Book

The book offers a clear, nontechnical account of crystallography, tracing observational and theoretical advances and illustrating experimental phenomena in polarised light. It explains symmetry and crystal habit, rules limiting possible faces, zones and face construction, and the lattice concept with unit cells and the enumeration of crystal point-systems. Historical contributions such as early structural ideas, isomorphism and morphotropy, polymorphism, and enantiomorphism with related optical activity are discussed, along with liquid crystals and practical experiments on growth from solution. The chemical implications, including the Pope–Barlow view linking crystalline arrangement with valency, are presented cautiously and without heavy mathematics.

INDEX

  • Airy’s spirals, 197
  • Alpine snow-field, 49
  • Alum, ammonium iron, 43;
  • Amethyst quartz, 222–229;
    • as example of pseudo-racemism, 231, 232
  • Ammonium chloride labile crystallisation, 248;
    • iron alum, 43;
    • NH4 group, and its isomorphism with alkalies, 82, 83, 131;
    • oleate, liquid crystals of, 259–263;
    • oleate, twins of, 262
  • Ampère’s researches on ammonia, 83
  • Anatase, crystal of, 37
  • Antimony oxide, dimorphism of, 87, 88
  • Apatite, crystal of, 37
  • Aragonite, biaxial interference figure of, 189, 190
  • Armstrong and Pope on sobrerol, 153
  • Arsenic oxide, crystals of, 5, 88
  • Astatic systems of molecular magnets of Lehmann, 271, 272
  • Asymmetric carbon atom, 144, 145
  • Axes and axial planes of crystals, 51, 55, 56
  • Axial ratios, 129
  • Babinet’s double-wedge quartz plate, 219
  • Bacteria, destruction of one enantiomorphous form by, 149
  • Barium nitrate, 152
  • Barker, researches on perchlorates, 123
  • Barlow, discovery of remainder of 230 point-systems, 118, 119, 140;
    • and Pope’s theory, 285–292
  • Bartolinus, Erasmus, 17
  • Benzoic acid, screen experiment on crystallisation of, 229–231
  • Bergmann and Gahn’s laws of cleavage, 18
  • Berzelius and Mitscherlich, atomic weights and isomorphism, 80, 82, 83, 85
  • Beudant’s researches on the vitriols, 75, 76
  • Biaxial crystals, 60°-prisms and refractive indices of, 162, 163, 184;
    • optic axes of, 185;
    • optic axial angle of, 191
  • Biot’s researches on tartaric and racemic acids, 143
  • Biquartze, natural and artificial, 181, 211, 214, 216, 217
  • Black band of quartz twins, 216–218
  • Boisbaudran, Lecoq de, 238
  • Boyle, Robert, 17
  • Brauns, 254
  • Bravais, 114;
    • space-lattices, 114
  • Brookite, 91
  • Cæsalpinus, 15
  • Cæsium alum, 42
  • Calcite, crystals of, 10–13, 38;
    • amount of double refraction of, 174;
    • in rock sections, 177, 178;
    • uniaxial interference figure of, 189, 190;
    • plate perpendicular to axis of, 209;
    • refractive indices of, 174;
    • 60°-prism of, 165, 168
  • Calcium carbonate, three habits of crystals of, 11
  • Calcium dextro-glycerate, optical activity and crystal form of, 155–160
  • Carangeot’s contact goniometer, 18–20
  • Carbonate, calcium, 11, 87;
    • potassium sodium, 44
  • Carbonates of alkaline earths, 74
  • Carbon, dimorphism of, 137
  • Carbon dioxide, liquid in quartz cavities, 46
  • Cavendish, 23
  • Chemical significance of crystallography, 73, 283, 284;
    • valency and crystalline form, 285–291
  • Cholesteryl benzoate, liquid crystals of, 258;
    • acetate, spherical liquid crystals of, 281, 282
  • Chromate, potassium, 84
  • Chromates and manganates, isomorphism with sulphates, 84
  • Classes, the 32 crystal, 6, 33
  • Cleavage, 17;
  • Cobalt sulphate, 78
  • Conditions for growth of crystals, 240, 244, 245
  • Constancy of crystal angles, 6, 13, 14, 17, 23, 132
  • Convergent light experiments, 186, 188
  • Copper sulphate, 40, 76, 78
  • Coppet, de, 238
  • Crookes, Sir William, 138, 208
  • Crossed-axial-plane dispersion of optic axes, 89, 94, 95;
    • of ethyl triphenyl pyrrholone, 106, 107, 108;
    • of gypsum, 89
  • Crystal, definition of, 4;
    • germs and their influence on crystallisation, 236, 237
  • Crystals, modes of formation of, 4, 5
  • Cube and its perfection of symmetry, 38;
    • axes of, 52
  • Cubic system, 37
  • Cyanide, potassium cadmium, crystals of, 42
  • Dalton, 25
  • Dark field of polariscope, 188, 202
  • Davy, Sir Humphry, researches on ammonia, 82, 83
  • Delafosse and morphotropy, 101
  • Deville and Troost’s researches on tantalum chloride, 84, 85
  • Diamond, 8, 137, 138, 207, 208
  • Dibenzal benzidine, liquid crystals of, 264
  • Digonal axis of symmetry, 36
  • Dimensions of structural parallelepipeda, 129
  • Dimorphism, 79, 87;
    • of antimony oxide, 87, 88;
    • of carbonate of lime, 79, 87;
    • of mercuric iodide, 97;
    • of sodium dihydrogen phosphate, 80, 81;
    • of sulphur, 86;
    • of vitriols, 79
  • Directive molecular force in crystallisation, 139, 269, 274–277
  • Dog-tooth spar, 10–12
  • Double refraction, interference colours due to, 176, 177;
    • measure of, 169, 170;
    • of biaxial crystals, 184;
    • of uniaxial crystals, 183
  • Double sulphates and selenates, 35, 79, 121, 127, 128, 132
  • Dulong and Petit’s law, 84
  • Electronic corpuscles, constituents of atoms, 113, 124
  • Elements of a crystal, 68, 69
  • Enantiomorphism and optical activity, 140;
    • 11 classes showing, 150
  • Epsom salts, 76, 78
  • Ethyl triphenyl pyrrholone, 105, 106
  • Eutropic series, definition of, 132
  • External molecular compensation, 134, 234
  • Extinction directions, 204, 205
  • Fedorow, von, discovery of remainder of 230 point-systems, 118, 119, 140;
  • Ferricyanide, potassium, 44
  • Ferrocyanide, potassium, 43
  • Ferrous sulphate, 76, 78
  • Fletcher, indicatrix of, 184
  • Fluorspar, single refraction of, 206
  • Form, definition of a, 11, 60, 61
  • Frankenheim on morphotropy, 101;
    • discovery of space-lattices, 114
  • Frankland and Frew, 155
  • Fuchs, von, researches on sulphates of barium, strontium, and lead, 75, 77
  • Fuess reflecting goniometer, 64–66
  • Fundamentalbereich of Schönflies, 112, 113
  • Gattermann, 258
  • Gay-Lussac on alums, 77;
    • on ammonia, 83;
    • on racemic acid, 142
  • Gernez, 238
  • Gessner, 14
  • Gmelin, researches on racemic acid, 142
  • Goniometer, contact, 19, 20;
    • reflecting, 64–66
  • Graphite, 137
  • Groth, von, morphotropic researches, 98, 102–104
  • Growth of a crystal, 1;
    • from solution, 237–254
  • Guglielmini, researches on crystal structure, 17
  • Gypsum (selenite), cleavage of, 203;
    • crystals of, 14;
    • extinction directions of, 204;
    • 60°-prism, experiment with, 163, 168;
    • twins of in polarised light, 205, 206
  • Habit of crystals, 12, 13
  • Hardness of crystals, 255, 274
  • Hatchett’s discovery of columbium, 85
  • Haüy, 22;
    • and Mitscherlich, 70, 75, 77, 88, 132;
    • fundamental forms, 22, 23;
    • law of constancy of form, 23;
    • lattices, 29;
    • law of rational indices, 24, 29, 30;
    • modernisation of theories of, 30–32;
    • molécules intégrantes, soustractives, and élémentaires, 25–28;
    • structural units, 24
  • Hemihedral classes of crystals, 34
  • Hexagonal axes of symmetry, 36;
  • Hexakis octahedron, 39;
    • indices of, 61
  • Hjortdahl and morphotropy, 101
  • Holohedral classes of crystals, 34
  • Homogeneity, 6, 16;
    • definition of, 114
  • Homogeneous structures, the 230 types of, 6, 111
  • Hooke, Robert, 16
  • Huyghens, 17;
    • discovery of laws of double refraction, 17;
    • investigation of calcite, 17
  • Ice, crystalline form of, 47
  • Iceland spar, discovery of, 17;
    • rhombohedron of, 10–12
  • Inactive tartaric acid, 144
  • Inactivity, true optical, 235
  • Indicatrix of Fletcher, 184
  • Indices of crystal faces, 11
  • Intercepts on crystal axes, 58
  • Interference colours due to double refraction, 177;
    • figures of biaxial and uniaxial crystals, 189–191
  • Internal structure of crystals, 15, 111–120
  • Iodide of mercury, dimorphism of, 97
  • Isomerism, chemical and physical, 142, 143
  • Isomorphism, Mitscherlich’s conferment of the term, 81;
    • doctrine of, 81, 82;
    • limitations of, 85;
    • recent clearer definition of, 121–132
  • Isotropic crystals, 206
  • John of Berlin’s discovery of racemic acid, 142
  • Kipping and Pope, definition of racemism and pseudo-racemism, 153, 154
  • Kopp, 100
  • Kundt’s powder, 149
  • Labile solutions, 241
  • Laurent and Nickle’s organic researches, 99
  • Lavoisier, 23
  • Law of rational indices, 24, 50, 57, 59
  • Le Bel and van t’Hoff’s explanation of optical activity, 151
  • Le Blanc, researches on alums, 77
  • Lehmann, researches on liquid crystals, 256–282
  • Liquid crystals, 255–282;
    • and polymorphism, 138, 139;
    • list of substances forming, 280, 281
  • Magnesium sulphate, 76, 78
  • Mallard and Le Chatelier on silver iodide, 256
  • Manganate, potassium, 96
  • Manganates, 84, 96
  • Manganese sulphate, 78
  • Marignac and isomorphism of tantalum and niobium compounds, 84;
    • and morphotropy, 101
  • Mercury iodide, dimorphism of, 97
  • Metastable solutions, 240
  • Methyl triphenyl pyrrholone, 105, 106
  • Mica-sectors plate for testing sign of optical rotation, 212, 213
  • Microscope, Lehmann’s crystallisation, 256, 257, 276–280
  • Miers, H. A., researches on crystallisation, 238–243;
    • on red silver ores, 109;
    • on vicinal faces, 248–254
  • Millerian indices, 57
  • Mirror-image symmetry, 118, 119, 134, 135;
    • illustrated by quartz, 231
  • Mitscherlich, experiment with gypsum, 90–94;
    • work of, 70–97
  • Mixed crystals, 77, 86
  • Molecular compound, racemic acid a, 150
  • Molecular volume and distance ratios, 129, 130
  • Molecule, individuality and directive force of, 139, 269
  • Monochromatic illuminator, 192, 193
  • Monoclinic system, 39;
    • axes and axial planes of, 53, 54
  • Morphotropy, 98–104
  • Muthmann, researches on permanganates, 123
  • Naphthalene tetrachloride, 99
  • Newton’s seven orders of spectra, 177
  • Nickel sulphate, 76, 78
  • Nicol prism, 174, 175, 187
  • Nitrobenzenes, von Groth’s researches on, 104
  • Noble, Sir Andrew, experiments on liquefaction of carbon, 138
  • Optical activity and mirror-image symmetry, 141;
    • antipodes, characters of, 152;
    • characters of crystals, 7
  • Optically active classes of crystals, 150, 151
  • Optic axes of biaxial crystals, 185;
    • axis of uniaxial crystals, 165;
    • axial angle, 191;
    • axial angle of ethyl triphenyl pyrrholone for different wave-lengths, 107, 191;
    • axial angle of gypsum at different temperatures, 90–94, 191
  • Ostwald’s predictions of crystallisation phenomena, 238, 240
  • Oxides of arsenic and antimony, isodimorphism of, 88
  • Para-azoxy-anisol, liquid crystals of, 259, 265;
    • -benzoic acid, 263;
    • -cinnamic acid, 263;
    • -phenetol, 258, 259
  • Parametral form, 56
  • Pasteur’s law, 155;
    • research on morphotropy of tartrates, 100;
    • research on tartaric and racemic acids, 142–150
  • Penfield’s diagram of spherical projection, 61, 62
  • Penicillium glaucum, destruction of dextro component of racemic acid, 148
  • Perchlorates and permanganates, isomorphism of, 84, 96
  • Pfaff, 254
  • Phases, different solid, 137
  • Phenol and resorcinol, von Groth’s researches on, 103
  • Phosphate, ammonium magnesium, 43;
    • sodium dihydrogen, dimorphism of, 80, 81
  • Phosphates and arsenates, isomorphism of, 73, 74
  • Phosphorus, dimorphism of, 138
  • Photomicrographs of growing crystals, mode of obtaining, 41
  • Pistor’s goniometer, 89
  • Planeness of crystal faces, 6, 7
  • Polarisation colours due to optical activity, 179
  • Polarisation, rectangular, of spectra from doubly refractive prisms, 164
  • Polariscope, the, 187, 188
  • Polymorphism, 133–137
  • Pope and Barlow, theory of, 285–291
  • Positive and negative uniaxial and biaxial crystals, 166
  • Potassium bichromate, metastable and labile crystallisation of, 246, 247;
    • manganate, 96;
    • nickel sulphate, 35;
    • selenate, 96;
    • sulphate, 13
  • Priestley, 23
  • Primitive form of Romé de l’Isle, 20, 27
  • Projection polariscope, for convergent light, 92, 186, 188, 189;
    • for parallel light, 201, 202
  • Progressive change of crystal angles in isomorphous series, 125;
    • of double refraction, 126;
    • of molecular distance ratios, 130, 131;
    • of position of optical ellipsoid, 128
  • Propyl triphenyl pyrrholone, 106, 108
  • Proustite, 109, 110
  • Pseudo-racemism, 153, 154
  • Pyrargyrite, 109, 110
  • Pyroelectrical properties of crystals, 149
  • Quartz, 170;
    • crystalline form of, 171, 172;
    • crystals in rock sections, polarisation colours of, 175–178;
    • crystals, liquid cavities in, 45;
    • crystals on sand grains, 2, 3;
    • double refraction of, 174;
    • interference figure in convergent polarised light, 194–196;
    • optical activity of, 173, 179–181, 210;
    • plates, preparation of for polariscope, 181;
    • polarisation colours of due to optical activity, 209, 210;
    • refractive indices of, 174;
    • screw point-systems of, 151;
    • 60°-prism experiment with, 165, 168;
    • Steno’s research on, 16;
    • twinning of, 215, 216, 219–221, 225;
    • two varieties of as examples of mirror-image symmetry, 171
  • Racemate, sodium ammonium, Pasteur’s researches on, 147, 148
  • Racemic acid, 142–146, 233, 234
  • Racemic forms and racemism, 150, 153, 233
  • Rammelsberg and morphotropy, 101
  • Rational indices, 24, 50, 59, 116
  • Reflection of light by crystal faces, 8
  • Refractive index, meaning of, 167
  • Reinitzer, 258
  • Reusch’s artificial quartzes, 198, 199
  • Rhombic system, 39;
    • axes and axial planes of, 52, 54
  • Rhombohedron and its axes, 10, 11, 54, 55, 172
  • Rings and brushes, optic axial, 190, 191
  • Rock-salt, cube of in quartz cavity, 45;
    • 60°-prism experiment with, 162, 168
  • Romé de l’Isle, 18–20;
    • researches on alums, 77
  • Roozeboom, 238
  • Rotation of plane of polarisation by quartz of two varieties and different thickness, 180, 210, 211
  • Royal Institution experiment with diamonds, 8
  • Sal-ammoniac, 82, 83
  • Salol and betol, Miers’ researches on, 242, 243
  • Sand grains with quartz crystals, 3
  • Scalenohedron of calcite, 11
  • Scheele’s discovery of tartaric acid, 142
  • Schlippe’s salt, 45
  • Schönflies, discovery of remainder of 230 point-systems, 118, 119, 140
  • Seebeck, researches on ammonia, 82, 83
  • Selenates, isomorphous with sulphates, 96;
    • of alkalies, 121
  • Selenic acid, 95
  • Selenite, polarisation colours of films of, 203
  • Selenium, discovery by Berzelius, 96
  • Sella’s warning against hasty generalisation, 102
  • Senarmontite, 88
  • Silver iodide, 256, 292
  • Single refraction of cubic crystals, 162, 183
  • Snow crystals, 49
  • Sobrerol, 153
  • Sodium chlorate, 151;
    • sulphantimoniate, 45
  • Sohncke, regular point-systems, 117;
    • mirror-image molecular arrangement, 141;
    • two point-systems of quartz, 151
  • Sollas, crystal structure, theory of, 292
  • Solubility and supersolubility, 238–241;
    • curves of, 240
  • Solutions, optical activity of, 151;
    • metastable and labile, 240, 241
  • Space-lattices, 50, 114–116;
    • triclinic illustration of, 115
  • Specific gravity, importance of determinations of, 129
  • Spheres of influence of atoms, 113
  • Steno, 16
  • Stereographic projection, 34, 62, 67;
    • of topaz, 68;
    • of double sulphates, 35
  • Stereometric arrangement of atoms in molecule, 124, 136
  • Story Maskelyne, 34
  • Strain, polarisation colours of glass and diamond due to, 207, 208
  • Structural units of crystals, 24, 111–113
  • Sulphantimoniate of sodium, 45
  • Sulphate, ammonium magnesium, 44
  • Sulphates of alkalies, 121;
    • of barium, strontium and lead, 74
  • Sulphur, dimorphism of, 86, 87, 137;
    • monoclinic form of, 4, 86
  • Symbol of a face or form, 57
  • Symmetry, axes and planes of, 34, 36, 41, 55;
    • elements of, 34
  • Systems, the crystal, 6, 7, 33
  • Tartaric acid, 142–148;
    • dextro, 143, 146–148;
    • lævo, 144, 146–148;
    • pyro-electrical properties of, 149
  • Tartrate, hydrogen potassium, 43
  • Tetartohedral classes of crystals, 34
  • Tetragonal system, 37;
    • axes and planes of, 36, 52
  • Thallium, relation of to alkali metals, 131
  • Thénard and Gay-Lussac, research on ammonia, 83
  • Thomson, J. M., 238
  • Thomson, Sir J. J., discovery of composition of atoms, 112
  • Topaz, crystal of, 40;
    • stereographic projection of, 68
  • Transition tint, 180
  • Triclinic bipyramid, 56;
    • system, 40;
    • axes and planes of, 53, 54
  • Trigonal system, 37;
    • axes and planes of, 37, 53, 55
  • Triphenyl pyrrholone derivatives, 105–108
  • Triple tartrate of sodium, potassium, and ammonium, 91
  • Tutton, fixed positions of atoms in crystals, 122–124;
    • law of progression of crystal properties in isomorphous series, 121–123, 129;
    • nature of structural units, 134, 135;
    • research on calcium dextro-glycerate, 157, 160;
    • researches on simple and double sulphates and selenates, 121;
    • researches on triphenyl pyrrholones, 105–108
  • Uniaxial crystals, optic axis of, 165;
    • 60°-prisms of, 164;
    • two refractive indices of, 166, 183
  • Valentinite, 88
  • Vanadium family group of elements, 85
  • Vauquelin, researches on alums, 77
  • Vicinal faces, 248–254
  • Vitriols, the, 15, 76, 78
  • Von Lang, 23, 34
  • Vorländer, 263;
    • nature of molecules forming liquid crystals, 273
  • Water, exceptional thermal dilatation of, 47
  • Water flowers in ice, 47
  • Water of crystallisation, 76, 78, 79
  • Wave-length of most luminous part of spectrum, 179
  • Werner’s fundamental form, 20
  • Westfeld, 18
  • Weyberg, 250
  • White of higher orders, 178
  • Wollaston’s reflecting goniometer, 63, 81;
    • work on carbonates and sulphates of barium, strontium and lead, 74, 75
  • Wulff, 250, 252, 253
  • Zinc sulphate, 76, 78
  • Zone of crystal faces, 63;
    • circle, 63