食品百科

5.2.4 热杀菌计算

2023-02-14

5.2.4.1 热杀菌计算的目的意义

有了微生物的耐热性特征值和罐头食品的传热温度数据,就可以进行热杀菌计算。

所谓热杀菌计算就是从生物学的角度出发计算一个与热杀菌过程受热强度密切相关 的参数值,这个参数值称之为杀菌值,用F来表示。这是热杀菌过程的F值,为了有别于 微生物的F0值,我们将热杀菌过程的F值记作Fp

计算Fp值的基本方法是: 设想一个理想化的热杀菌过程,此热杀菌过程所产生的 致死值相等于实际的热杀菌过程所产生的致死值。所谓理想化的热杀菌过程是食品温度 自始至终保持在121.1℃下的热杀菌过程,而Fp值则为这个理想化热杀菌过程的时间, 可按下式计算:

(5-8)

式中 t——时间

(5-9)

Li称之为致死率或换算系数,其含义是在某一温度T下加热1min所产生的致死效 应,相当于在121.1℃下加热的分钟数。

热杀菌计算的目的有两个: 一是已知热杀菌条件计算杀菌值,以检验现行杀菌条件 在微生物学上是否安全;二是根据所要求的杀菌值确定热杀菌条件。热杀菌过程的杀菌 值Fp和杀死微生物所要求的杀菌值F0应有如下关系:

Fp=F0+20%F0

式中20%为一个安全系数。

热杀菌计算有许多方法,最常用的有一般法和公式法两种。

5.2.4.2 一般法

一般法也称之为作图法,其方法原理如下: 如有一个热杀菌过程,测得罐内食品温 度,运用公式(5-9)算出各点温度下的Li值算出或从表5-3中查得,于是可以获得一条 曲线称之为致死率曲线,如图5-12所示。根据式(5-8)可知,杀菌值F0即是这条致死 率曲线所围成的面积。

表5-3 致死率Li (Z=10℃)

T/℃ 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
90

91

92

93

94

95

96

97

98

99

100

101

102

103

104

105

106

107

108

109

110

111

112

113

0.0008

0.0010

0.0012

0.0016

0.0020

0.0025

0.0031

0.0039

0.0049

0.0062

0.0078

0.0098

0.0123

0.0155

0.0195

0.0245

0.0309

0.0389

0.0490

0.0617

0.0776

0.0978

0.1230

0.1549

0.0008

0.0010

0.0013

0.0016

0.0020

0.0025

0.0032

0.0040

0.0050

0.0063

0.0079

0.0100

0.0126

0.0158

0.0200

0.0251

0.0316

0.0398

0.0501

0.0631

0.0794

0.1000

0.1259

0.1585

0.0008

0.0010

0.0013

0.0016

0.0020

0.0026

0.0032

0.0041

0.0051

0.0065

0.0081

0.0102

0.0129

0.0162

0.0204

0.0257

0.0324

0.0407

0.0513

0.0646

0.0813

0.1023

0.1288

0.1622

0.0008

0.0011

0.0013

0.0017

0.0021

0.0026

0.0033

0.0042

0.0053

0.0066

0.0083

0.0105

0.0132

0.0166

0.0209

0.0263

0.0331

0.0417

0.0525

0.0661

0.0832

0.1047

0.1318

0.1659

0.0009

0.0011

0.0014

0.0017

0.0021

0.0027

0.0034

0.0043

0.0054

0.0068

0.0085

0.0107

0.0135

0.0170

0.0214

0.0269

0.0339

0.0427

0.0537

0.0676

0.0851

0.1071

01349

0.1698

0.0009

0.0011

0.0014

0.0017

0.0022

0.0028

0.0035

0.0044

0.0055

0.0069

0.0087

0.0110

0.0138

0.0174

0.0219

0.0275

0.0347

0.0436

0.0549

0.0692

0.0871

0.1096

0.1380

0.1738

0.0009

0.0012

0.0014

0.0018

0.0022

0.0028

0.0036

0.0045

0.0056

0.0071

0.0089

0.0112

0.0141

0.0178

0.0224

0.0282

0.0355

0.0447

0.0562

0.0708

0.0891

0.1122

0.1413

0.1778

0.0009

0.0012

0.0015

0.0018

0.0023

0.0029

0.0036

0.0046

0.0058

0.0073

0.0091

0.0115

0.0145

0.0182

0.0229

0.0288

0.0363

0.0457

0.0575

0.0725

0.0912

0.1148

0.1446

0.1820

0.0009

0.0012

0.0015

0.0019

0.0023

0.0030

0.0037

0.0047

0.0059

0.0074

0.0093

0.0117

0.0148

0.0186

0.0234

0.0295

0.0371

0.0468

0.0589

0.0741

0.0933

0.1175

0.1479

0.1862

0.0010

0.0012

0.0015

0.0019

0.0024

0.0030

0.0038

0.0048

0.0060

0.0076

0.0096

0.0120

0.0151

0.0191

0.0240

0.0302

0.0380

0.0479

0.0602

0.0759

0.0955

0.1202

0.1514

0.1905

续表

T/℃ 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
114

115

116

117

118

119

120

121

122

123

124

125

126

127

128

129

130

0.1950

0.2455

0.3090

0.3891

0.4897

0.6165

0.7764

0.9775

1.230

1.549

1.950

2.455

3.090

3.891

4.891

6.165

7.764

0.1995

0.2512

0.3162

0.3981

0.5013

0.6309

0.7943

1.000

1.259

1.565

1.995

2.512

3.162

3.981

5.013

6.309

7.943

0.2042

0.2571

0.3236

0.4073

0.5128

0.6456

0.8130

1.023

1.288

1.622

2.042

2.571

3.236

4.073

5.128

6.456

8.130

0.2089

0.2630

0.3311

0.4168

0.5249

0.6605

0.8319

1.047

1.318

1.659

2.089

2.630

3.311

4.168

5.249

6.605

8.319

0.2138

0.2692

0.3436

0.4266

0.5371

0.6761

0.8511

1.071

1.349

1.698

2.138

2.692

3.436

4.266

5.371

6.761

8.511

0.2188

0.2754

0.3467

0.4365

0.5495

0.6920

0.8711

1.096

1.380

1.738

2.188

2.754

3.467

4.365

5.495

6.920

8.711

0.2239

0.2818

0.3549

0.4466

0.5624

0.7077

0.8913

1.122

1.413

1.778

2.239

2.818

3.549

4.466

5.624

7.077

8.913

0.2291

0.2884

0.3631

0.4570

0.5754

0.7246

0.9124

1.148

1.446

1.820

2.291

2.884

3.631

4.570

5.754

7.246

9.124

0.2344

0.2952

0.3715

0.4677

0.5889

0.7413

0.9328

1.175

1.479

1.862

2.344

2.952

3.715

4.677

5.869

7.413

9.328

0.2399

0.3020

0.3802

0.4787

0.6024

0.7587

0.9551

1.202

1.514

1.905

2.399

3.020

3.802

4.786

6.024

7.587

9.551

图5-12 致死率曲线

计算面积有许多方法,这里介绍一种最简单的方法,也是罐头工业常用的方法——矩 形法。

矩形法是将曲线分段,每段以矩形代替,然后将各矩形面积累加从而求出整个图形的 面积。

表5-4是一般法计算杀菌值的举例。

表5-4 7116马蹄罐头热杀菌值一般法计算结果

杀菌操作阶段 加热时间/min 罐内温度/℃ 致死率Li ∑Li

0

2

4

6

8

10

12

14

16

34

34

34

36

41

52

65

79

91

0.0000

0.0010

0.0000

0.0010

18

20

22

24

26

28

30

32

34

36

38

40

101.5

108.0

112.0

114.0

115.5

116.0

116.2

116.4

116.6

116.8

117.0

117.0

0.0110

0.0490

0.1230

0.1950

0.2754

0.3090

0.3236

0.3436

0.3549

0.3115

0.3891

0.3891

0.0120

0.0610

0.1840

0.3790

0.6544

0.9634

1.2870

1.6306

1.9855

2.3570

2.7461

3.1252

42

44

46

48

50

52

117.0

106.0

80

60

47

37

0.3891

0.0309

0.0000

3.5243

3.5552

Fp=3.5552×2=7.1

5.2.4.3 公式法

公式法是由鲍尔(Ball)创立的,所以也称为Ball公式法。此法是利用温度方程即传 热曲线进行热过程计算的。其基本原理为: 如前所述,罐头食品的传热特征值有两个,即 j和f值。j和f值对罐头食品来说是惟一的,即某种罐头食品有一定的j和f值。当加 热期的jh和fh值确定之后,升温曲线也就确定了。因此在热杀菌过程中,罐内温度的变 化由惟一的升温曲线确定,或者说罐内温度由加热时间直接确定,同样,在冷却时当jc和 fc值确定后,冷却曲线的走向也就确定了。根据升温曲线和冷却曲线就可以确定食品的 温度,然后计算杀菌值。在公式法中,温度的计算实际上是用温度方程计算的,这也是公 式法取名的原因。因为温度方程中使用了两个经验参数j和f,所以此法也称之为经验 公式法。

下面将公式法中使用的符号说明如下:

Z——微生物的耐热性特征值,是热致死时间曲线穿过一个对数周期所需要的温 度差。低酸性罐头食品按肉毒杆菌计算Z=10℃。酸性罐头食品在低于 100℃温度下杀菌时可按Z=8℃计算。

fh——加热曲线的斜率指数,其值为加热曲线斜率的倒数,或横跨一个对数周期所 需的时间(min),在转折型加热曲线中转折点前第一条加热曲线中直线部 分的斜率指数也为fh

f2——加热曲线中转折点后第二条直线的斜率指数,min

j——在半对数坐标纸上加热曲线的截距系数

式中 RT——杀菌温度,℃

IT——罐头食品初温(杀菌锅进蒸汽前罐内食品的平均温度),℃

I′T′——假想初温,它处于横坐标上按58%升温时间标出的点引出的垂直线和加 热曲线直线部分的延长线相交的交点上。如升温时间为15min,它应处于 和从15×0.58=8.7min一点引出的垂直线的交点上,℃

X——转折型加热曲线中第一条直线从42%升温时间包括在内的假想起始点到 其转折点的加热时间,min

fc——半对数冷却曲线中直线部分的斜率指数,min

CW——冷却水温度,℃

B——理论加热杀菌时间,即42%升温时间+杀菌时间,min

tp——从杀菌锅升温到达杀菌温度时开始,直至蒸汽关闭和冷却开始时的间隔 时间,它为实际杀菌时间,tp=B-0.42×CUT(升温时间),min

CUT——升温时间(ComeUp Time),从杀菌锅进蒸汽起一直到杀菌锅升温到杀菌 温度时止的相隔时间,min

I——罐头食品初温和杀菌锅温度差值,即I=RT-IT,℃

g——杀菌温度和终止杀菌(停止进汽)时罐内食品测点温度的差值,℃

m+g——杀菌温度和冷却水温度的差值,即RT-CW,℃

Fp——热过程杀菌值,参照温度为121.1℃

Fi——在任一致死温度下加热1min,相当于在121.1℃下加热的时间(min)。按下式计算:

U——以杀菌(锅)温度为参照温度的热过程杀菌值,即为食品在杀菌温度下加 热的时间,min

U=FpFi (Fi应为杀菌温度下的Fi)

r——加热杀菌过程中,加热期的杀菌占全过程杀菌值的比例,由r:lg(g)表查得

公式法可以用列表的方式进行计算。根据食品传热曲线类型和计算目的的不同,公 式法可以列成四种表格:表5-5、表5-6、表5-7、表5-8。热杀菌计算时,只要按表格 的先后次序填入已知数据,然后逐项计算,最后即可完成计算任务。

表5-5 简单型加热曲线杀菌值计算(以清水竹笋罐型8117为例)

Fp值计算项目 清水竹笋罐型8117 Fp值计算项目 清水竹笋罐型8117
Z 10.0℃ jI=j×I 91.2℃
fh 14.91min lgjI 1.96
j 0.95 B=tp+0.42CUT 56.3min
RT 116.0℃ B/fh 3.78
Fi(从表5-9查得) 3.236 lgg=lgjI-(B/fh) -1.82
CW 15.0℃
m+g=RT-CW 101.0℃ fh/U(从表5-10查得) 0.4358
IT 20.0℃ Fp=fh/fh/U·Fi 10.6
I=RT-IT 96℃

表5-6 简单型加热曲线,杀菌时间计算

B值计算项目 清水竹笋罐型8117 B值计算项目 清水竹笋罐型8117
Fp 10.6 I=RT-IT 96.0℃
Z 10.0℃ jI=j×I 91.2℃
fh 14.91min lgjI 1.96
j 0.95 fh/U=fh/FpFj 0.4347
RT 116.0℃
Fi(从表5-9查得) 3.236 lgg(从表5-10查得) -1.826
CW 15.0℃ lgjI-lgg 3.786
m+g=RT-CW 101.0℃ B=fh×(lgjI-lgg) 56.449min
IT 20.0℃ tp=B-0.42CUT 50.149min

表5-7 转折型加热曲线杀菌值计算[清水马蹄(整装)罐型854]

j 1.24 RT 121.0℃
fh 4.77min CW 20.0℃
f2 8.56min m+g=RT-CW 101.0℃
fc 8.56min IT 20.0℃
X 5.93min I=RT-IT 101.0℃
Z 10.0min jI=j×I 125.24℃
B=tp+0.42CUT 29.2min Fi(从表5-9查得) 1.023

续表

表5-8 转折型加热曲线杀菌时间计算[清水马蹄(整装)罐型854]

用公式法进行热杀菌计算时需要使用Fi表(表5-9),f/U:lg(g)表(表5-10)以及 r:lg(g)表(表5-11)。

表5-9 Fi表(F121.1℃=1.000)

杀菌温度

/℃

Z/℃
6 7 8 9 10 11 12 13 14
100

101

3286

2239

1033

743.0

434.5

325.8

220.8

171.0

128.8

102.3

82.79

67.14

57.28

47.32

41.98

35.16

32.14

27.29

续表

杀菌温度

/℃

Z/℃
6 7 8 9 10 11 12 13 14
102

103

104

105

106

107

108

109

110

111

112

113

114

115

116

117

118

119

120

121

122

123

124

125

126

127

128

129

130

1524

1040

707.9

481.9

328.6

223.9

152.4

104.1

70.79

48.19

32.86

22.39

15.24

10.41

7.079

4.819

3.286

2.239

1.524

1.041

0.7079

0.4819

0.3286

0.2239

0.1524

0.1041

0.0708

0.0482

0.0328

535.8

385.5

277.3

199.5

143.5

103.3

74.33

53.58

38.55

27.73

19.95

14.35

10.33

7.438

5.358

3.855

2.773

1.995

1.435

1.033

0.7438

0.5388

0.3855

0.2773

0.1995

0.1435

0.1033

0.0743

0.0536

244.3

183.2

137.4

103.0

77.27

57.94

43.45

32.58

24.43

18.32

13.72

10.30

7.727

5.794

4.345

3.258

2.443

1.832

1.374

1.030

0.7727

0.5794

0.4345

0.3258

0.2443

0.1832

0.1374

0.1030

0.0773

132.4

102.6

79.43

61.52

47.64

36.90

28.58

22.08

17.10

13.24

10.26

7.943

6.152

4.764

3.690

2.858

2.208

1.710

1.324

1.026

0.7943

0.6152

0.4764

0.3690

0.2858

0.2208

0.1710

0.1324

0.1026

81.28

64.57

51.29

40.74

32.36

25.70

20.42

16.22

12.88

10.23

8.128

6.457

5.129

4.074

3.236

2.570

2.042

1.622

1.288

1.023

0.8128

0.6457

0.5129

0.4074

0.3236

0.2570

0.2042

0.1622

0.1288

54.45

44.16

35.89

29.11

23.60

19.14

15.52

12.59

10.21

8.279

6.714

5.445

4.416

3.589

2.911

2.360

1.914

1.552

1.259

1.021

0.8279

0.6719

0.5145

0.4416

0.3589

0.2911

0.2360

0.1914

0.1552

39.08

32.28

26.61

21.98

18.11

14.96

12.36

10.19

8.414

6.950

5.728

4.734

3.908

3.228

2.661

2.198

1.811

1.496

1.236

1.019

0.8414

0.6950

0.5728

0.4732

0.3908

0.3228

0.2661

0.2198

0.1811

29.44

24.66

20.65

17.30

14.52

12.16

10.19

8.531

7.145

5.984

5.012

4.198

3.516

2.944

2.466

2.065

1.730

1.452

1.216

1.019

0.8531

0.7145

0.5984

0.5012

0.4198

0.3516

0.2944

0.2466

0.2065

23.12

19.63

16.63

14.13

11.99

10.16

8.630

7.311

6.209

5.260

4.467

3.793

3.214

2.729

2.312

1.963

1.663

1.413

1.199

1.016

0.8630

0.7311

0.6209

0.5260

0.4467

0.3793

0.3214

0.2729

0.2312

表5-10 f/U对lg(g)

lg(g) 0.000 0.002 0.004 0.006 0.008
-3.0000

-2.9900

-2.9800

-2.9700

-2.9600

-2.9500

-2.9400

0.2879

0.2888

0.2896

0.2904

0.2913

0.2921

0.2930

0.2881

0.2889

0.2898

0.2906

0.2915

0.2923

0.2932

0.2883

0.2891

0.2899

0.2908

0.2916

0.2925

0.2933

0.2884

0.2893

0.2901

0.2909

0.2918

0.2926

0.2935

0.2886

0.2894

0.2903

0.2911

0.2920

0.2928

0.2937

续表

lg(g) 0.000 0.002 0.004 0.006 0.008
-2.9300

-2.9200

-2.9100

-2.9000

-2.8900

-2.8800

-2.8700

-2.8600

-2.8500

-2.8400

-2.8300

-2.8200

-2.8100

-2.8000

-2.7900

-2.7800

-2.7700

-2.7600

-2.7500

-2.7400

-2.7300

-2.7200

-2.7100

-2.7000

-3.6900

-2.6800

-2.6700

-2.6600

-2.6500

-2.6400

-2.6300

-2.6200

-2.6100

-2.6000

-2.5900

-2.5800

-2.5700

-2.5600

-2.5500

-2.5400

0.2939

0.2947

0.2956

0.2965

0.2973

0.2982

0.2991

0.3000

0.3009

0.3018

0.3027

0.3037

0.3046

0.3055

0.3065

0.3074

0.3083

0.3093

0.3103

0.3112

0.3122

0.3132

0.3142

0.3151

0.3161

0.3171

0.3181

0.3192

0.3202

0.3212

0.3222

0.3233

0.3243

0.3254

0.3265

0.3275

0.3286

0.3297

0.3308

0.3319

0.2940

0.2949

0.2958

0.2966

0.2975

0.2984

0.2993

0.3002

0.3011

0.3020

0.3029

0.3038

0.3048

0.3057

0.3066

0.3076

0.3085

0.3095

0.3104

0.3114

0.3124

0.3134

0.3143

0.3153

0.3163

0.3173

0.3184

0.3194

0.3204

0.3214

0.3225

0.3235

0.3245

0.3256

0.3267

0.3277

0.3288

0.3299

0.3310

0.3321

0.2942

0.2951

0.2959

0.2968

0.2977

0.2986

0.2995

0.3004

0.3013

0.3022

0.3031

0.3040

0.3050

0.3059

0.3068

0.3078

0.3087

0.3097

0.3106

0.3116

0.3126

0.3136

0.3145

0.3155

0.3165

0.3175

0.3186

0.3196

0.3206

0.3216

0.3227

0.3237

0.3248

0.3258

0.3269

0.3279

0.3290

0.3301

0.3312

0.3323

0.2944

0.2952

0.2961

0.2970

0.2979

0.2988

0.2997

0.3006

0.3015

0.3024

0.3033

0.3042

0.3051

0.3061

0.3070

0.3080

0.3089

0.3099

0.3108

0.3118

0.3128

0.3138

0.3147

0.3157

0.3167

0.3177

0.3188

0.3198

0.3208

0.3218

0.3229

0.3239

0.3250

0.3260

0.3271

0.3282

0.3292

0.3303

0.3314

0.3325

0.2945

0.2954

0.2963

0.2972

0.2981

0.2989

0.2998

0.3007

0.3016

0.3026

0.3035

0.3044

0.3053

0.3063

0.3072

0.3082

0.3091

0.3101

0.3110

0.3120

0.3130

0.3140

0.3149

0.3159

0.3169

0.3179

0.3190

0.3200

0.3210

0.3220

0.3231

0.3241

0.3252

0.3262

0.3273

0.3284

0.3295

0.3305

0.3316

0.3327

续表

lg(g) 0.000 0.002 0.004 0.006 0.008
-2.5300

-2.5200

-2.5100

-2.5000

-2.4900

-2.4800

-2.4700

-2.4600

-2.4500

-2.4400

-2.4300

-2.4200

-2.4100

-2.4000

-2.3900

-2.3800

-2.3700

-2.3600

-2.3500

-2.3400

-2.3300

-2.3200

-2.3100

-2.3000

-2.2900

-2.2800

-2.2700

-2.2600

-2.2500

-2.2400

-2.2300

-2.2200

-2.2100

-2.2000

-2.1900

-2.1800

-2.1700

-2.1600

-2.1500

-2.1400

0.3330

0.3341

0.3352

0.3363

0.3375

0.3386

0.3398

0.3409

0.3421

0.3432

0.3444

0.3456

0.3468

0.3480

0.3492

0.3505

0.3517

0.3529

0.3542

0.3554

0.3567

0.3580

0.3593

0.3606

0.3619

0.3632

0.3645

0.3658

0.3672

0.3685

0.3699

0.3713

0.3726

0.3740

0.3754

0.3768

0.3783

0.3797

0.3811

0.3826

0.3332

0.3343

0.3354

0.3366

0.3377

0.3388

0.3400

0.3411

0.3423

0.3435

0.3447

0.3459

0.3471

0.3483

0.3495

0.3507

0.3519

0.3532

0.3544

0.3557

0.3570

0.3582

0.3595

0.3608

0.3621

0.3634

0.3648

0.3661

0.3674

0.3688

0.3702

0.3715

0.3729

0.3743

0.3757

0.3771

0.3786

0.3800

0.3814

0.3829

0.3334

0.3345

0.3356

0.3368

0.3379

0.3391

0.3402

0.3414

0.3425

0.3437

0.3449

0.3461

0.3473

0.3485

0.3497

0.3509

0.3522

0.3534

0.3547

0.3559

0.3572

0.3585

0.3598

0.3611

0.3624

0.3637

0.3650

0.3664

0.3677

0.3691

0.3704

0.3718

0.3732

0.3746

0.3760

0.3774

0.3788

0.3803

0.3817

0.3832

0.3336

0.3348

0.3359

0.3370

0.3381

0.3393

0.3404

0.3416

0.3428

0.3440

0.3451

0.3463

0.3475

0.3487

0.3500

0.3512

0.3524

0.3537

0.3549

0.3562

0.3575

0.3587

0.3600

0.3613

0.3626

0.3640

0.3653

0.3666

0.3680

0.3693

0.3707

0.3721

0.3735

0.3749

0.3763

0.3777

0.3791

0.3806

0.3820

0.3835

0.3339

0.3350

0.3361

0.3372

0.3384

0.3395

0.3407

0.3418

0.3430

0.3442

0.3454

0.3466

0.3478

0.3490

0.3502

0.3514

0.3527

0.3539

0.3552

0.3564

0.3577

0.3590

0.3603

0.3616

0.3629

0.3642

0.3656

0.3669

0.3682

0.3696

0.3710

0.3724

0.3737

0.3751

0.3766

0.3780

0.3794

0.3809

0.3823

0.3838

续表

lg(g) 0.000 0.002 0.004 0.006 0.008
-2.1300

-2.1200

-2.1100

-2.1000

-2.0900

-2.0800

-2.0700

-2.0600

-2.0500

-2.0400

-2.0300

-2.0200

-2.0100

-2.0000

-1.9900

-1.9800

-1.9700

-1.9600

-1.9500

-1.9400

-1.9300

-1.9200

-1.9100

-1.9000

-1.8900

-1.8800

-1.8700

-1.8600

-1.8500

-1.8400

-1.8300

-1.8200

-1.8100

-1.8000

-1.7900

-1.7800

-1.7700

-1.7600

-1.7500

-1.7400

0.3841

0.3855

0.3870

0.3885

0.3900

0.3916

0.3931

0.3947

0.3962

0.3978

0.3994

0.4010

0.4026

0.4042

0.4058

0.4075

0.4092

0.4108

0.4125

0.4142

0.4160

0.4177

0.4194

0.4212

0.4230

0.4248

0.4266

0.4284

0.4302

0.4321

0.4340

0.4358

0.4377

0.4397

0.4416

0.4436

0.4455

0.4475

0.4495

0.4515

0.3844

0.3858

0.3873

0.3888

0.3904

0.3919

0.3934

0.3950

0.3965

0.3981

0.3997

0.4013

0.4029

0.4045

0.4062

0.4078

0.4095

0.4112

0.4129

0.4146

0.4163

1.4180

0.4198

0.4216

0.4233

0.4251

0.4269

0.4288

0.4306

0.4325

0.4343

0.4362

0.4381

0.4401

0.4420

0.4439

0.4459

0.4479

0.4499

0.4519

0.3847

0.3861

03876

0.3891

0.3907

0.3922

0.3937

0.3953

0.3968

0.3984

0.4000

0.4016

0.4032

0.4049

0.4065

0.4082

0.4098

0.4115

0.4132

0.4149

0.4166

0.4184

0.4201

0.4219

0.4237

0.4255

0.4273

0.4291

0.4310

0.4328

0.4347

0.4366

0.4385

0.4404

0.4424

0.4443

0.4463

0.4483

0.4503

0.4524

0.3850

0.3864

0.3879

0.3894

0.3910

0.3925

0.3940

0.3956

0.3972

0.3987

0.4003

0.4019

0.4036

0.4052

0.4068

0.4085

0.4102

0.4119

0.4136

0.4153

0.4170

0.4187

0.4205

0.4223

0.4240

0.4259

0.4277

0.4295

0.4313

0.4332

0.4351

0.4370

0.4389

0.4408

0.4428

0.4447

0.4467

0.4487

0.4507

0.4528

0.3852

0.3867

0.3882

0.3897

0.3913

0.3928

0.3943

0.3959

0.3975

0.3991

0.4007

0.4023

0.4039

0.4055

0.4072

0.4088

0.4105

0.4122

0.4139

0.4156

0.4173

0.4191

0.4208

0.4226

0.4244

0.4262

0.4280

0.4299

0.4317

0.4336

0.4355

0.4374

0.4393

0.4412

0.4432

0.4451

0.4471

0.4491

0.4511

0.4532

续表

lg(g) 0.000 0.002 0.004 0.006 0.008
-1.7300

-1.7200

-1.7100

-1.7000

-1.6900

-1.6800

-1.6700

-1.1600

-1.6500

-1.6400

-1.6300

-1.6200

-1.6100

-1.6000

-1.5900

-1.5800

-1.5700

-1.5600

-1.5500

-1.5400

-1.5300

-1.5200

-1.5100

-1.5000

-1.4900

-1.4800

-1.4700

-1.4600

-1.4500

-1.4400

-1.4300

-1.4200

-1.4100

-1.4000

-1.3900

-1.3800

-1.3700

-1.3600

-1.3500

-1.3400

0.4536

0.4556

0.4577

0.4598

0.4619

0.4641

0.4662

0.4684

0.4706

0.4728

0.4750

0.4773

0.4796

0.4819

0.4842

0.4865

0.4889

0.4913

0.4937

0.4961

0.4986

0.5011

0.5036

0.5061

0.5087

0.5113

0.5139

0.5165

0.5192

0.5219

0.5246

0.5273

0.5301

0.5329

0.5358

0.5386

0.5415

0.5444

0.5474

0.5504

0.4540

0.4561

0.4581

0.4602

0.4624

0.4645

0.4667

0.4688

0.4710

0.4732

0.4755

0.4777

0.4800

0.4823

0.4847

0.4870

0.4894

0.4918

0.4942

0.4966

0.4991

0.5016

0.5041

0.5066

0.5092

0.5118

0.5144

0.5171

0.5197

0.5224

0.5251

0.5279

0.5307

0.5335

0.5363

0.5392

0.5421

0.5450

0.5480

0.5510

0.4544

0.4565

0.4586

0.4607

0.4628

0.4649

0.4671

0.4693

0.4715

0.4737

0.4759

0.4782

0.4805

0.4828

0.4851

0.4875

0.4899

0.4923

0.4947

0.4971

0.4996

0.5021

0.5046

0.5072

0.5097

0.5123

0.5149

0.5176

0.5203

0.5230

0.5257

0.5284

0.5312

0.5341

0.5369

0.5398

0.5427

0.5456

0.5486

0.5516

0.4548

0.4569

0.4590

0.4611

0.4632

0.4654

0.4675

0.4697

0.4719

0.4741

0.4764

0.4787

0.4810

0.4833

0.4856

0.4880

0.4903

0.4927

0.4952

0.4976

0.5001

0.5026

0.5051

0.5077

0.5102

0.5128

0.5155

0.5181

0.5208

0.5235

0.5262

0.5290

0.5318

0.5346

0.5375

0.5403

0.5433

0.5462

0.5492

0.5522

0.4552

0.4573

0.4594

0.4615

0.4636

0.4658

0.4680

0.4701

0.4724

0.4746

0.4768

0.4791

0.4814

0.4837

0.4861

0.4884

0.4908

0.4932

0.4957

0.4981

0.5006

0.5031

0.5056

0.5082

0.5108

0.5134

0.5160

0.5187

0.5213

0.5240

0.5268

0.5296

0.5324

0.5352

0.5380

0.5409

0.5438

0.5468

0.5498

0.5528

续表

lg(g) 0.000 0.002 0.004 0.006 0.008
-1.3300

-1.3200

-1.3100

-1.3000

-1.2900

-1.2800

-1.2700

-1.2600

-1.2500

-1.2400

-1.2300

-1.2200

-1.2100

-1.2000

-1.1900

-1.1800

-1.1700

-1.1600

-1.1500

-1.1400

-1.1300

-1.1200

-1.1100

-1.1000

-1.0900

-1.0800

-1.0700

-1.0600

-1.0500

-1.0400

-1.0300

-1.0200

-1.0100

-1.0000

-0.9900

-0.9800

-0.9700

-0.9600

-0.9500

-0.9400

0.5534

0.5564

0.5595

0.5627

0.5658

0.5690

0.5722

0.5755

0.5788

0.5821

0.5855

0.5889

0.5923

0.5958

0.5994

0.6029

0.6065

0.6102

0.6139

0.6176

0.6214

0.6252

0.6291

0.6330

0.6370

0.6410

0.6451

0.6492

0.6534

0.6576

0.6619

0.6662

0.6706

0.6751

0.6796

0.6841

0.6887

0.6934

0.6982

0.7030

0.5540

0.5571

0.5602

0.5633

0.5664

0.5696

0.5729

0.5761

0.5794

0.5828

0.5862

0.5896

0.5930

0.5965

0.6001

0.6036

0.6073

0.6109

0.6146

0.6184

0.6222

0.6260

0.6299

0.6338

0.6378

0.6418

0.6459

0.6501

0.6542

0.6585

0.6628

0.6671

0.6715

0.6760

0.6805

0.6850

0.6897

0.6944

0.6991

0.7039

0.5546

0.5577

0.5608

0.5639

0.5671

0.5703

0.5735

0.5768

0.5801

0.5834

0.5868

0.5903

0.5937

0.5972

0.6008

0.6044

0.6080

0.6117

0.6154

0.6191

0.6229

0.6268

0.6307

0.6346

0.6386

0.6427

0.6467

0.6509

0.6551

0.6593

0.6636

0.6680

0.6724

0.6769

0.6814

0.6860

0.6906

0.6953

0.7001

0.7049

0.5552

0.5583

0.5614

0.5645

0.5677

0.5709

0.5742

0.5774

0.5808

0.5841

0.5875

0.5909

0.5944

0.5979

0.6015

0.6051

0.6087

0.6124

0.6161

0.6199

0.6237

0.6276

0.6315

0.6354

0.6394

0.6435

0.6476

0.6517

0.6559

0.6602

0.6645

0.6689

0.6733

0.6778

0.6823

0.6869

0.6915

0.6963

0.7010

0.7059

0.5558

0.5589

0.5620

0.5652

0.5684

0.5716

0.5748

0.5781

0.5814

0.5848

0.5882

0.5916

0.5951

0.5986

0.6022

0.6058

0.6095

0.6131

0.6169

0.6206

0.6245

0.6283

0.6323

0.6362

0.6402

0.6443

0.6484

0.6526

0.6568

0.6610

0.6654

0.6697

0.6742

0.6787

0.6832

0.6878

0.6925

0.6972

0.7020

0.7069

续表

lg(g) 0.000 0.002 0.004 0.006 0.008
-0.9300

-0.9200

-0.9100

-0.9000

-0.8900

-0.8800

-0.8700

-0.8600

-0.8500

-0.8400

-0.8300

-0.8200

-0.8100

-0.8000

-0.7900

-0.7800

-0.7700

-0.7600

-0.7500

-0.7400

-0.7300

-0.7200

-0.7100

-0.7000

-0.6900

-0.6800

-0.6700

-0.6600

-0.6500

-0.6400

-0.6300

-0.6200

-0.6100

-0.6000

-0.5900

-0.5800

-0.5700

-0.5600

-0.5500

-0.5400

0.7078

0.7128

0.7178

0.7228

0.7280

0.7332

0.7385

0.7438

0.7493

0.7548

0.7603

0.7660

0.7718

0.7776

0.7835

0.7895

0.7956

0.8018

0.8080

0.8144

0.8209

0.8274

0.8314

0.8408

0.8477

0.8547

0.8617

0.8689

0.8762

0.8837

0.8912

0.8989

0.9067

0.9146

0.9226

0.9308

0.9391

0.9476

0.9562

0.9649

0.7088

0.7138

0.7188

0.7239

0.7290

0.7342

0.7395

0.7449

0.7504

0.7559

0.7615

0.7672

0.7729

0.7788

0.7847

0.7907

0.7968

0.8030

0.8093

0.8157

0.8222

0.8287

0.8354

0.8422

0.8491

0.8561

0.8632

0.8704

0.8777

0.8852

0.8927

0.9004

0.9082

0.9162

0.9242

0.9325

0.9408

0.9493

0.9579

0.9667

0.7098

0.7148

0.7198

0.7249

0.7301

0.7353

0.7406

0.7460

0.7514

0.7570

0.7626

0.7683

0.7741

0.7799

0.7859

0.7919

0.7980

0.8043

0.8106

0.8170

0.8235

0.8301

0.8368

0.8436

0.8505

0.8575

0.8646

0.8718

0.8792

0.8867

0.8943

0.9020

0.9098

0.9178

0.9259

0.9341

0.9425

0.9510

0.9597

0.9685

0.7108

0.7158

0.7208

0.7259

0.7311

0.7364

0.7417

0.7471

0.7526

0.7581

0.7637

0.7694

0.7752

0.7811

0.7871

0.7931

0.7993

0.8055

0.8118

0.8183

0.8248

0.8314

0.8381

0.8449

0.8519

0.8589

0.8660

0.8733

0.8807

0.8882

0.8958

0.9035

0.9114

0.9194

0.9275

0.9358

0.9442

0.9527

0.9614

0.9703

0.7118

0.7168

0.7218

0.7269

0.7321

0.7374

0.7427

0.7482

0.7537

0.7592

0.7649

0.7706

0.7764

0.7823

0.7883

0.7944

0.8005

0.8068

0.8131

0.8196

0.8261

0.8327

0.8395

0.8463

0.8533

0.8603

0.8675

0.8748

0.8822

0.8897

0.8973

0.9051

0.9130

0.9210

0.9292

0.9374

0.9459

0.8544

0.9632

0.9720

续表

lg(g) 0.000 0.002 0.004 0.006 0.008
-0.5300

-0.5200

-0.5100

-0.5000

-0.4900

-0.4800

-0.4700

-0.4600

-0.4500

-0.4400

-0.4300

-0.4200

-0.4100

-0.4000

-0.3900

-0.3800

-0.3700

-0.3600

-0.3500

-0.3400

-0.3300

-0.3200

-0.3100

-0.3000

-0.2900

-0.2800

-0.2700

-0.2600

-0.2500

-0.2400

-0.2300

-0.2200

-0.2100

-0.2000

-0.1900

-0.1800

-0.1700

-0.1600

-0.1500

-0.1400

0.9738

0.9829

0.9921

1.0015

1.0110

1.0207

1.0306

1.0407

1.0509

1.0613

1.0720

1.0828

1.0938

1.1050

1.1165

1.1282

1.1400

1.1522

1.1645

1.1771

1.1900

1.2031

1.2165

1.2301

1.2440

1.2582

1.2727

1.2876

1.3027

1.3181

1.3339

1.3500

1.3665

1.3833

1.4005

1.4181

1.4361

1.4545

1.4733

1.4825

0.9756

0.9847

0.9940

1.0034

1.0129

1.0227

1.0326

1.0427

1.0530

1.0634

1.0741

1.0850

1.0960

1.1073

1.1188

1.1305

1.1424

1.1546

1.1670

1.1797

1.1926

1.2057

1.2192

1.2329

1.2468

1.2611

1.2757

1.2905

1.3057

1.3212

1.3371

1.3533

1.3698

1.3867

1.4040

1.4217

1.4397

1.4582

1.4771

1.4964

0.9774

0.9865

0.9958

1.0053

1.0149

1.0246

1.0346

1.0447

1.0551

1.0656

1.0763

1.0872

1.0983

1.1096

1.1211

1.1329

1.1449

1.1571

1.1695

1.1822

1.1952

1.2084

1.2219

1.2356

1.2497

1.2640

1.2786

1.2936

1.3088

1.3244

1.3403

1.3566

1.3732

1.3901

1.4075

1.4252

1.4434

1.4619

1.4809

1.5003

0.9792

0.9884

0.9977

1.0072

1.0168

1.0266

1.0366

1.0468

1.0571

1.0677

1.0784

1.0894

1.1005

1.1119

1.1235

1.1353

1.1473

1.1595

1.1721

1.1848

1.1978

1.2111

1.2246

1.2384

1.2525

1.2669

1.2816

1.2966

1.3119

1.3275

1.3435

1.3698

1.3765

1.3936

1.4110

1.4288

1.4471

1.4657

1.4848

1.5043

0.9811

0.9902

0.9996

1.0091

1.0188

1.0286

1.0386

1.0488

1.0592

1.0698

1.0806

1.0916

1.1028

1.1142

1.1258

1.1376

1.1497

1.1620

1.1746

1.1874

1.2004

1.2138

1.2273

1.2412

1.2554

1.2698

1.2846

1.2996

1.3150

1.3307

1.3468

1.3632

1.3799

1.3970

1.4145

1.4324

1.4508

1.4695

1.4886

1.5082

续表

lg(g) 0.000 0.002 0.004 0.006 0.008
-0.1300

-0.1200

-0.1100

-0.1000

-0.0900

-0.0800

-0.0700

-0.0600

-0.0500

-0.0400

-0.0300

-0.0200

-0.0100

0.0000

0.0100

0.0200

0.0300

0.0400

0.0500

0.0600

0.0700

0.0800

0.0900

0.1000

0.1100

0.1200

0.1300

0.1400

0.1500

0.1600

0.1700

0.1800

0.1900

0.2000

0.2100

0.2200

0.2300

0.2400

0.2500

0.2600

1.5122

1.5324

1.5530

1.5741

1.5957

1.6179

1.6406

1.6638

1.6876

1.7121

1.7371

1.7628

1.7891

1.8161

1.8439

1.8723

1.9016

1.9316

1.9624

1.9941

2.0266

2.0600

2.0944

2.1298

2.1662

2.2036

2.2421

2.2818

2.3226

2.3647

2.4080

2.4527

2.4987

2.5462

2.5952

2.6457

2.6979

2.7517

2.8073

2.8648

1.5162

1.5364

1.5572

1.5784

1.6001

1.6224

1.6452

1.6685

1.6825

1.7170

1 .7422

1.7680

1.7945

1.8216

1.8495

1.8781

1.9075

1.9377

1.9687

2.0005

2.0332

2.0668

2.1014

2.1370

2.1736

2.2112

2.2500

2.2898

2.3309

2.3732

2.4168

2.4618

2.5081

2.5559

0.6051

2.6560

2.7085

2.7627

2.8187

2.8765

1.5202

1.5405

1.5614

1.5827

1.6045

1.6269

1.6498

1.6733

1.6973

1.7220

1.7473

1.7732

1.7998

1.8271

1.8552

1.8839

1.9135

1.9438

1.9750

2.0070

2.0399

2.0737

2.1085

2.1442

2.1810

2.2189

2.2578

2.2980

2.3393

2.3818

2.4257

2.4709

2.5175

2.5656

0.6152

2.6664

2.7192

2.7737

2.8301

2.8883

1.5242

1.5447

1.5656

1.5870

1.6089

1.6314

1.6544

1.6780

1.7022

1.7270

1 .7524

0.7785

1.8053

1.8327

1.8609

1.8898

1.9195

1.9500

1.9813

2.0135

2.0465

2.0806

2.1155

2.1515

2.1885

2.2266

2.2658

2.3061

2.3477

2.3905

2.4346

2.4801

2.5270

2.5754

2.6253

2.6768

2.7300

2.7849

2.8416

2.9002

1.5283

1.5488

1.5698

1.5914

1.6134

1.6360

1.6591

1.6828

1.7071

1.7320

1.7576

1.7838

1.8107

1.8383

1.8666

1.8957

1.9255

1.9562

1.9877

2.0200

2.0533

2.0875

2.1226

2.1588

2.1960

2.2343

2.2737

2.3143

2.3562

2.3992

2.4436

2.4894

2.5366

2.5852

2.6355

2.6873

2.7408

2.7961

2.8531

2.9121

续表

lg(g) 0.000 0.002 0.004 0.006 0.008
0.2700

0.2800

0.2900

0.3000

0.3100

0.3200

0.3300

0.3400

0.3500

0.3600

0.3700

0.3800

0.3900

0.4000

0.4100

0.4200

0.4300

0.4400

0.4500

0.4600

0.4700

0.4800

0.4900

0.5000

0.5100

0.5200

0.5300

0.5400

0.5500

0.5600

0.5700

0.5800

0.5900

0.6000

0.6100

0.6200

0.6300

0.6400

0.6500

0.6600

2.9242

2.9855

3.0490

3.1147

3.1826

3.2530

3.3258

3.4013

3.4795

3.5606

3.6447

3.7319

3.8225

3.9165

4.0141

4.1156

4.2211

4.3308

4.4449

4.5638

4.6875

4.8164

4.9508

5.0909

5.2371

5.3898

5.5491

5.7157

5.8898

6.0718

6.2624

6.4619

6.6709

6.8900

7.1198

7.3609

7.6141

7.8801

8.1597

8.4539

2.9363

2.9981

3.0620

3.1281

3.1965

3.2674

3.3407

3.4167

3.4955

3.5772

3.6619

3.7498

3.8410

3.9357

4.0341

4.1364

4.2427

4.3533

4.4683

4.5881

4.7129

4.8429

4.9784

5.1197

5.2671

5.4211

5.5819

5.7499

5.9255

6.1093

6.3016

6.5029

6.7139

6.9351

7.1671

7.4105

7.6662

7.9349

8.2173

8.5145

2.9485

3.0107

3.0750

3.1416

3.2105

3.2818

3.3557

3.4323

3.5116

3.5939

3.6792

3.7677

3.8596

3.9551

4.0542

4.1573

4.2644

4.3759

4.4919

4.6127

4.7384

4.8695

5.0062

5.1487

5.2974

5.4527

5.6149

5.7844

5.9616

6.1470

6.3411

6.5443

6.7573

6.9806

7.2148

7.4607

7.7189

7.9902

8.2756

8.5758

2.9607

3.0234

3.0882

3.1552

3.2246

3.2964

3.3708

3.4479

3.5278

3.6107

3.6966

3.7858

3.8784

3.9746

4.0745

4.1784

4.2864

4.3987

4.5157

4.6374

4.7642

4.8964

5.0342

5.1779

5.3279

5.4846

5.6482

5.8192

5.9980

6.1851

6.3810

6.5861

6.8011

7.0265

7.2630

7.5113

7.7721

8.0462

8.3344

8.6377

2.9731

3.0362

3.1014

3.1689

3.2387

3.3111

3.3860

3.4636

3.5441

3.6276

3.7142

3.8041

3.8974

3.9943

4.0950

4.1997

4.3085

4.4217

4.5396

4.6624

4.7902

4.9235

5.0624

5.2074

5.3587

5.5167

5.6818

5.8543

6.0348

6.2236

6.4212

6.6283

6.8453

7.0729

7.3117

7.5624

7.8258

8.1026

8.3938

8.7003

续表

lg(g) 0.000 0.002 0.004 0.006 0.008
0.6700

0.6800

0.6900

0.7000

0.7100

0.7200

0.7300

0.7400

0.7500

0.7600

0.7700

0.7800

0.7900

0.8000

0.8100

0.8200

0.8300

0.8400

0.8500

0.8600

0.8700

0.8800

0.8900

0.9000

0.9100

0.9200

0.9300

0.9400

0.9500

0.9600

0.9700

0.9800

0.9900

1.0000

1.0100

1.0200

1.0300

1.0400

1.0500

1.0600

8.7635

9.0896

9.4333

9.7958

10.1783

10.5823

11.0093

11.4608

11.9387

12.4449

12.9814

13.5505

14.1546

14.7965

15.4790

16.2053

16.9789

17.8036

18.6835

19.6231

20.6276

21.7022

22.8530

24.0867

25.4104

26.8323

28.3612

30.0068

31.7800

33.6928

35.7584

37.9917

40.4090

43.0287

45.8712

48.9591

52.3181

55.9765

59.9665

64.3240

8.8274

9.1569

9.5042

9.8706

10.2574

10.6658

11.0976

11.5542

12.0376

12.5497

13.0925

13.6684

14.2799

14.9296

15.6206

16.3561

17.1396

17.9750

18.8665

19.8187

20.8367

21.9261

23.0929

24.3440

25.6867

27.1293

28.6807

30.3509

32.1510

34.0932

36.1912

38.4599

40.9161

43.5787

46.4683

49.6085

53.0248

56.7470

60.8073

65.2429

8.8919

9.2249

9.5760

9.9463

10.3373

10.7503

11.1869

11.6487

12.1377

12.6557

13.2050

13.7878

14.4067

15.0644

15.7641

16.5089

17.3024

18.1487

19.0519

20.0168

21.0487

22.1530

23.3362

24.6050

25.9670

27.4305

29.0049

30.7002

32.5277

34.4999

36.6307

38.9356

41.4316

44.1378

47.0756

50.2687

53.7439

57.5309

61.6633

66.1786

8.9571

9.2936

9.6484

10.0228

10.4181

10.8356

11.2772

11.7443

12.2389

12.7630

13.3188

13.9086

14.5350

15.2009

15.9093

16.6636

17.4673

18.3246

19.2398

20.2177

21.2635

22.3831

23.5828

24.8696

26.2513

27.7362

29.3339

31.0547

32.9101

34.9129

37.0772

39.4189

41.9554

44.7060

47.6930

50.9402

84.4753

58.3285

62.5344

67.1311

9.0230

9.3631

9.7217

10.1001

10.4997

10.9220

11.3685

11.8410

12.3413

12.8715

13.4339

14.0309

14.6649

15.3391

16.0564

16.8202

17.6344

18.5029

19.4302

20.4213

21.4814

22.6165

23.8330

25.1381

26.5397

28.0464

29.6679

31.4146

33.2984

35.3324

37.5309

39.9100

42.4876

45.2839

48.3207

51.6234

55.2194

59.1404

63.4211

68.1013

续表

lg(g) 0.000 0.002 0.004 0.006 0.008
1.0700

1.0800

1.0900

1.1000

1.1100

1.1200

1.1300

1.1400

1.1500

1.1600

1 .1700

1 .1800

1.1900

1.2000

1.2100

1.2200

1.2300

1.2400

1.2500

1.2600

1.2700

1.2800

1.2900

1.3000

1.3100

1.3200

1.3300

1.3400

1.3500

1.3600

1.3700

1.3800

1.3900

69.0890

74.3075

80.0304

86.3163

93.2302

100.8473

109.2514

118.5396

128.8208

140.2210

152.8826

166.9712

182.6737

200.2065

219.8195

241.8036

266.4909

294.2715

325.5940

360.9859

401.0579

446.5317

498.2480

557.1949

624.5453

701.6746

790.2255

892.1349

1009.7280

1145.7640

1303.5700

1487.1190

1701.2360

70.0948

75.4099

81.2405

87.6465

94.6947

102.4621

111.0348

120.5125

131.0073

142.6473

155.5810

169.9760

186.0267

203.9538

224.0174

246.5129

271.7870

300.2366

332.3293

368.6040

409.6970

456.3456

509.4236

569.9506

639.1394

718.4120

809.4692

914.3151

1035.3600

1175.4620

1338.0770

1527.3330

1748.2130

71.1194

76.5330

82.4738

89.0024

96.1883

104.1092

112.8549

122.5260

133.2391

145.1253

158.3371

173.0469

189.4539

207.7863

228.3113

251.3331

277.2087

306.3487

339.2305

376.4166

418.5558

466.4180

520.8964

583.0551

654.1364

735.6241

829.2635

937.1475

1061.7540

1206.0680

1373.6460

1568.7990

1796.6920

72.1625

77.6770

83.7304

90.3849

97.7108

105.7896

114.7115

124.5817

135.5178

147.6569

161.1530

176.1862

192.9582

211.7074

232.7051

256.2685

282.7607

312.6087

346.3034

384.4247

427.6432

476.7522

532.6761

596.5126

669.5482

753.3170

849.6302

960.6418

1088.9390

1237.5950

1410.3260

1611.5730

1846.7410

73.2250

78.8429

85.0109

91.7938

99.2635

107.5032

116.6059

126.6793

137.8445

150.2419

164.0304

179.3944

196.5422

215.7174

237.2023

261.3196

288.4481

319.0222

353.5547

392.6368

436.9675

487.3585

544.7739

610.3383

685.3922

771.5102

870.5800

984.8260

1116.9310

1270.0820

1448.1330

1655.6990

1898.3910

表5-11 r对lg(g)

lg(g) 0.000 0.002 0.004 0.006 0.008
-3.0000

-2.9000

-2.8000

-2.7000

0.9751

0.9743

0.9736

0.9727

0.9751

0.9743

0.9736

0.9727

0.9751

0.9743

0.9735

0.9727

0.9750

0.9743

0.9735

0.9727

0.9750

0.9743

0.9735

0.9727

续表

lg(g) 0.00 0.02 0.04 0.06 0.08
-2.6000

-2.5000

-2.4000

-2.3000

-2.2000

-2.1000

-2.0000

-1.9000

-1.8000

-1.7000

-1.6000

-1.5000

-1.4000

-1.3000

-1.2000

-1.1000

-1.0000

-0.9000

-0.8000

-0.7000

-0.6000

-0.5000

-0.4000

-0.3000

-0.2000

-0.1000

0.0000

0.1000

0.2000

0.3000

0.4000

0.5000

0.6000

0.7000

0.8000

0.9000

1.0000

1.1000

1.2000

1.3000

0.9719

0.9709

0.9699

0.9688

0.9677

0.9664

0.9651

0.9636

0.9621

0.9604

0.9585

0.9565

0.9543

0.9518

0.9492

0.9462

0.9429

0.9392

0.9351

0.9304

0.9252

0.9193

0.9125

0.9049

0.8961

0.8860

0.8744

0.8611

0.8456

0.8278

0.8072

0.7834

0.7560

0.7248

0.6892

0.6492

0.6048

0.5560

0.5033

0.4472

0.9718

0.9709

0.9699

0.9688

0.9677

0.9664

0.9651

0.9636

0.9621

0.9603

0.9585

0.9565

0.9542

0.9518

0.9491

0.9461

0.9428

0.9391

0.9350

0.9303

0.9251

0.9191

0.9124

0.9047

0.8959

0.8858

0.8742

0.8606

0.8453

0.8274

0.8067

0.7829

0.7554

0.7241

0.6885

0.6484

0.6038

0.5550

0.5022

0.4461

0.9718

0.9709

0.9699

0.9688

0.9676

0.9664

0.9650

0.9636

0.9620

0.9603

0.9585

0.9564

0.9542

0.9517

0.9490

0.9461

0.9427

0.9390

0.9349

0.9302

0.9250

0.9190

0.9123

0.9045

0.8957

0.8856

0.8739

0.8605

0.8450

0.8270

0.8063

0.7824

0.7549

0.7234

0.6877

0.6476

0.6029

0.5539

0.5011

0.4449

0.9718

0.9709

0.9698

0.9688

0.9676

0.9664

0.9650

0.9636

0.9620

0.9603

0.9584

0.9564

0.9541

0.9517

0.9490

0.9460

0.9427

0.9389

0.9348

0.9301

0.9249

0.9189

0.9121

0.9044

0.8955

0.8854

0.8737

0.8602

0.8446

0.8266

0.8058

0.7818

0.7543

0.7227

0.6870

0.6467

0.6020

0.5529

0.5000

0.4438

0.9718

0.9708

0.9698

0.9687

0.9676

0.9663

0.9650

0.9635

0.9620

0.9602

0.9584

0.9563

0.9541

0.9516

0.9489

0.9459

0.9426

0.9389

0.9347

0.9300

0.9247

0.9188

0.9120

0.9042

0.8953

0.8852

0.8734

0.8599

0.8443

0.8262

0.8054

0.7813

0.7537

0.7221

0.6862

0.6458

0.6010

0.5519

0.4989

0.4426