1、测量可得：0A/=7.5mmIOB/=12.0mmOA、OB夹角=90°2、计算可得：Rd=CC =19.57mm-A0AdoA=19.57/7.5=2.609oAdoB=19.57/12.0=1.631查PDF卡可得：3、d=2.6065的[hkl}为[002]d=1.6265的[hkl}为[110]验证夹角（ZAOB）4.3a用六方晶系晶面夹角公式验证发现h,hz+k,k2+=(h,k2+h,k)+4c2l112COS(++hki+++hak2+)(002)、（110)晶面夹角等于90°
A B C O 1、测量可得： |OA|=7.5 mm |OB|=12.0 mm OA、OB夹角=90° 2、计算可得： Rd=C C 19.57mmA doA=19.57/7.5=2.609 A doB=19.57/12.0=1.631 A 3、查PDF卡可得： d=2.6065 的{hkl}为{002} d=1.6265 的{hkl}为{110} 4、验证夹角(∠AOB) 用六方晶系晶面夹角公式验证发现， (002)、(110)晶面夹角等于90°
89-1397ZnOQuality.CZincOxideCAS Number:Ref:CalculatedfromICSDusingPOwD-12++MolecularWeight:81.38Ref:Schulz.H.Thiemann,K.H.SolidStateCommun.,32,783[1979Volume[CD]:47.77Dx:5.657Dm:ASys: HexagonalsesHSLattice:Primitive0S.G.:P63mc (186)eCell Parameters:a 3.253 bc5.213βoy2.011.53.05.91.3d(?1/lcor:5.43Rad:CuKald(A]Int-fhkd(A]Int-fh1d(A]Int-f1k11Lambda:1.54060Filter.103225691001.47892651.23923402.8171d-sp: calculated41001601.40852141.18282.6065 415_0.02.ICSD#:086254672220112032.4784999101.37981.094210201.913221221.35981091016001.6265308111.30324
5、指标化(112)OA=(002)OB=(110)因为，OC=OA+OB(110)(002)B所以，OC=(112)A6、计算晶带轴[uvw]:[uvW]=RB×RA1141:0162"0:2思考题：[uvw]=[2-20]=[1-10]若选择的两晶面夹角注意：矢量方向不等于90°怎么办？
A B C O 5、指标化 OA=(002) OB=(110) 因为，OC=OA+OB 所以，OC=(112) (002) (110) (112) 思考题： 若选择的两晶面夹角 不等于90°怎么办？ 6、计算晶带轴[uvw]： [uvw]=[2-20]=[1-10] [uvw]=RB×RA 1 1 0 1 1 0 0 0 2 0 0 2 注意：矢量方向
1、测量可得：R,=4 mmR2=6.5 mmR3=7.6 mmRR4=9.1 mmRs=11.2 mmRRc=12.0 mmR,=13.0 mmEM0488L=80 cm85cmGeku00
1、测量可得： R1 R7 R1=4 mm R2=6.5 mm R3=7.6 mm R4=9.1 mm R5=11.2 mm R6=12.0 mm R7=13.0 mm L=80 cm
2、计算可得：1.2250/1.092 = 2.508 ×10-3 nm = 2.508×10-2 A元=2计算值/1.0920C = L=800mm ×2.508×10-2 A = 20.06mm· AR2R( hkl )(R;2/R,2)×3R;2/R,2331111R,2=16R,=482207.922.64R2=6.5R22=42.25113113.6110.83R32=57.76R3=7.6164005.1815.54R4=9.1R42=82.81244227.8423.52Rs=11.2Rs2=125.4492727511Re2=144Rs=12.03210.5631.68440R,2=169R7=13.0
R1 2=16 R2 2=42.25 R3 2=57.76 R4 2=82.81 R5 2=125.44 R6 2=144 R7 2=169 2、计算可得： 1 2.64 3.61 5.18 7.84 9 10.56 3 7.92 10.83 15.54 23.52 27 31.68 3 8 11 16 24 27 32 111 220 311 400 422 511 440 R2 R1=4 R2=6.5 R3=7.6 R4=9.1 R5=11.2 R6=12.0 R7=13.0 R Ri2/R1 2 （Ri2/R1 2）×3 { hkl } o 1 3 2 .225 /1.092=( )/1.092 2.508 10 nm 2.508 10 A V 计算值 o o 2 C L=800mm 2.508 10 A 20.06mm A
19-0629Quality.*Fe+2Fe2+304lronOxideCAS Number.Ref:Natl.Bur.Stand.[U.S.]Monogr.25.5,31(1967MolecularWeight:231.54Volume[CD]:591.86Dx: 5.197Dm5.176nSys: Cubic0808Lattice:Face-centeredS.G.:Fd3m(227]Cell Parameters:a 8.396bcBa.31.31.00.9d(?3.61.8SS/FOM:F26=58.0132.34)1/lcor:4.90d[A]d(A)Int-vhkd[A]hk1Int-vhkInt-y1Rad:CuKalLambda: 1.540561.3277869632011624.85204206Filter.Ni253262202118402.96701.280793880d-sp:3862266642.53201001.265989520Mineral Name:81242.4243271.211944488020179312.099324149Magnetite,synn1.12216485690248441111281.714615142.09307382330121020951.615847 15.0496148081170191059896066221.484568 /44.08080013.10122039695016751.4192514311400422511440
111 220 311 400 422 511 440
O(hkl )C, mm-ARd, A1114.852019.408R,=42202.967019.286R2=6.5可用:Rd=C3112.53219.243R3=7.6验证一4002.099319.104R4=9.1下前面422Rs=11.21.714619.204计算得到的C5111.615819.390Rs=12.0值。4401.484519.299R,=13.0
4.8520 2.9670 2.532 2.0993 1.7146 1.6158 1.4845 19.408 19.286 19.243 19.104 19.204 19.390 19.299 111 220 311 400 422 511 440 R1=4 R2=6.5 R3=7.6 R4=9.1 R5=11.2 R6=12.0 R7=13.0 R { hkl } d，A C，mm·A 。 。 可用Rd=C 验证一 下前面 计算得 到的C 值