2017-2011@Yuji.W

™•¨—’萔™

ž ƒxƒNƒgƒ‹ <A>@’PˆÊƒxƒNƒgƒ‹ <-u>@À•W’PˆÊƒxƒNƒgƒ‹ <x>@“àÏ *@ŠOÏ #@Ï *@¤ /@10^x=Ten(x)@exp(i*x)=expi(x)@”÷•ª ;@ŽžŠÔ”÷•ª '@Ï•ª $

ž \3=2.99792458 {’è‹`’l}@Œõ‘¬ c=\3*Ten(8)_m/sec@\9=(\3)^2
ž ƒN[ƒƒ“—͒萔 ke=1/(4Pi*ƒÃ0)@ke/c^2=ƒÊ0/4Pi=Ten(-7)@ƒÃ0*ƒÊ0*c^2=1
@Ž¥ê(Œõ‘¬”{) <cB>@Ž¥‘© ƒ³@ƒxƒNƒgƒ‹ƒ|ƒeƒ“ƒVƒƒƒ‹ <A>
ž CGSÃ“d’PˆÊŒn ke=1_–³ŽŸŒ³@<Bcgs>=<cB>@ƒ³cgs=c*ƒ³@<Acgs>=c*<A>
@‘Û’PˆÊŒn B=1_T Ì CGSÃ“d’PˆÊŒn Bcgs=Ten(4)_G@k“dŽ¥‹C‚Ì’PˆÊl

™ ƒÉ ‚ç‚Þ‚¾@ƒÏ ‚낤@ƒÐ ‚µ‚®‚܁@ƒ³ ƒÓ ‚Ó‚Ÿ‚¢@ƒÕ ‚Õ‚µ‚¢@(nu) ‚ɂイ@ƒÅ ‚¦[‚½

w“dŽ¥‹C‚Ì’PˆÊ@‘Û’PˆÊŒn‚ÆCGSÃ“d’PˆÊŒnx

œ \3=2.99792458 {’è‹`’l}@Œõ‘¬ c=\3*Ten(8)_m/sec

¡ ‘Û’PˆÊŒn B=1_T Ì CGSÃ“d’PˆÊŒn Bcgs=Ten(4)_G

@1_C=\3*Ten(9)_esu

@1_A=1_C/sec=\3*Ten(9)_esu/sec@1_A/c=0.1_esu/cm

@\3*Ten(2)_V=1_Ã“dƒ{ƒ‹ƒg@\3*Ten(4)_V/m=1_Ã“dƒ{ƒ‹ƒg/cm

@1_F=\3^2*Ten(11)_cm

•â•’PˆÊ@œ Ten(3) ‚²‚ƂɁAƒLƒ k , ƒƒK M , ƒMƒK G , ƒeƒ‰ T , ƒyƒ^ P

œ Ten(-3) ‚²‚ƂɁAƒ~ƒŠ m , ƒ}ƒCƒNƒ ƒÊ , ƒiƒm n , ƒsƒR p , ƒtƒFƒ€ƒg f

œ ð=Ten(-10)_m@1_nm=10_ð

œ {’è‹`’l}@1_mi=1609.344_m@1_ft=0.3048_m@1_in=25.4_mm

œ {’è‹`’l}@ƒ|ƒ“ƒh@1_lb=0.453 592 37_kg

”Šw‚̒萔@œ ƒlƒCƒsƒA” e~2.7183@ln(2)~0.69315@ln(10)~2.3026

ŽžŠÔ@œ 1_year=[3.1536*Ten(7)]_sec@1_day=86400_sec

@1_‘¾—z”N~365.2422_day~3.156*Ten(7)_sec

Œõ‘¬@œ \3=2.99792458 {’è‹`’l}@Œõ‘¬ c=\3*Ten(8)_m/sec

Ž¿—ʁ@œ Œ´ŽqŽ¿—Ê’PˆÊ u@{’è‹`’l}12C ‚ÌŽ¿—Ê 12_u

@1_u~(1.660 538 921)*Ten(-27)_kg~(931.493 6161)_MeV/c^2

œ 1_kg~8.9874*Ten(16)_J/c^2~5.6094*Ten(35)_eV/c^2

@1_MeV Ì 1.78*Ten(-30)_kg

—́@œ d—͒萔(–œ—Lˆø—͒萔) G~(6.673 84)*Ten(-11)_m^3/(kg*sec^2)

œ ’n‹…‚̏d—͉Á‘¬“x{’è‹`’l} g=G*M/R^2=9.80665_m/sec^2~1.03227_Œõ”N/”N^2

@[m/sec^2]=[N/kg]

œ —Í‚Ì’PˆÊ ƒjƒ…[ƒgƒ“ N=kg*m/sec^2@kgd kgf

Ž¿—Ê 1 kg‚Ì‚à‚Ì‚É“­‚­d—Í g_N=1_kgd

@g=9.80665_m/sec^2=9.80665_N/kg=1_kgd/kg@{‚±‚̍l‚¦•û•Ö—˜!2015/6}

œ 1_N~100_gd@1_dyn~1_mgd

œ ˆ³—Í‚Ì’PˆÊ ƒpƒXƒJƒ‹ Pa=N/m^2@1_atm=101325_Pa@{’è‹`’l}

ƒGƒlƒ‹ƒM[@

œ ‰·“x@{’è‹`}@ÛŽ‰·“x=â‘Ή·“x-273.15

ˆ³—́@ƒpƒXƒJƒ‹ 1_Pa=1_N/m^2@ƒwƒNƒgƒpƒXƒJƒ‹ 1_hPa=100_Pa

{’è‹`}@‹Cˆ³ 1_atm=101325_Pa=1.003_kgd/cm^2

œ ‹C‘̒萔 R=Na*kB=8.314_J/(K*mol)

@1_J=1_N*1_m=1_Pa*1_m^2*1_m=1_Pa*m^3=1000_Pa*l

@1_J=1000_Pa*l=1000*(1/101325)_atm*l=9.8692*Ten(-3)_atm*l

@1_atm*l=101.325_J

@R
=8.314_J/(K*mol)
=8.314*9.8692*Ten(-3)_atm*l/(K*mol)
=0.082_atm*l/(K*mol)

@273*R=273*0.082~22.4_atm*l/mol

œ ƒGƒlƒ‹ƒM[@1_J=9.8692*Ten(-3)_atm*l@1_atm*l=101.325_J

œ ‹C‘̒萔@R=8.314_J/(K*mol)=0.08205_atm*l

œ 1_eV~(1.602 176 565)*Ten(-19)_J

œ …‘fŒ´Žq‚̃CƒIƒ“‰»ƒGƒlƒ‹ƒM[ 13.6_eV

œ 1_eV@Œ´Žq‚É‘©”›‚³‚ê‚é“dŽq‚̃Gƒlƒ‹ƒM[@‰»Šw•Ï‰»@‰ÂŽ‹Œõ
@1_keV@^‹ó•ú“d@Xü
@1_MeV@“dŽq‚ÌŽ¿—Ê(Œõ‘¬‚Ì2æ”{)@Œ´ŽqŠj”½‰ž@ƒKƒ“ƒ}ü
@1_GeV@—zŽq‚ÌŽ¿—Ê(Œõ‘¬‚Ì2æ”{)
@170_TeV@ƒgƒbƒvƒNƒH[ƒN

œ ‚²”с@1g 1.68_kcal
@ˆê‘V140g 235_kcal=9.82*Ten(5)_J~6*Ten(24)_eV

œ cal/J=4.184@{’è‹`’l}

œ 1_eV‚Ì•½‹Ï‰^“®ƒGƒlƒ‹ƒM[‚ðŽ‚Â‹C‘̂̉·“x 11604 K

œ 1_kg*[2.998*Ten(8)]^2/[1.602*Ten(-19)]=5.573*Ten(35)_eV

1_kg Ì [5.573*Ten(35)]_eV

œ 1_”n—Í~75_kgd*m/sec~735.5_J/sec=735.5_W

Œõ@œ Œõ‘¬ c=(2.997 924 58)*Ten(8)_m/sec=1_Œõ”N/”N@{’è‹`’l}

@1_ƒÊŒõ•b=300_m

œ ƒvƒ‰ƒ“ƒN’萔 h~(6.626 069 57)*Ten(-34)_J*sec
~(4.135 667 517)*Ten(-21)_MeV*sec

@h*c~(1.986 445 68)*Ten(-25)_J*m~(1.239 842)*Ten(-6)_eV*m

œ ƒfƒBƒ‰ƒbƒN’萔 h.~(1.054 571 726)*Ten(-34)_J*sec
~(6.582 119 28)*Ten(-22)_MeV*sec

œ ƒGƒlƒ‹ƒM[=h*U“®”=h.*ŠpU“®”

@‰^“®—Ê=h*(•’Ê‚Ì”g”)=h.*(”g”)

š 1_MeV@U“®”=1/[(4.135 667 517)*Ten(-21)]~(2.417 989 347)*Ten(20)_1/sec

¡

ƒeƒŒƒr“d”g

ÔŠOü

‰ÂŽ‹Œõ(—Î)

Ž‡ŠOü

Xü

ƒKƒ“ƒ}ü

E_eV

Ten(-9)

1.24

2.5

24.8

1k

10k

nu_Hz

3*Ten(6)

3*Ten(14)

6*Ten(14)

6*Ten(15)

3*Ten(18)

3*Ten(19)

ă_m

100

1*Ten(-6)

5*Ten(-7)

5*Ten(-8)

Ten(-10)

Ten(-11)

œ ‰ÂŽ‹Œõ@380_nm~750_nm

“ÁŽê‘Š‘Θ_@‘Š‘Θ_“IŒø‰Ê—¦ ƒ¡(b)=1/root(1-b^2)

b

8/17

3/5

ã2/2

4/5

ã3/2

15/17

12/13

ƒ¡(b)

17/15

5/4

ã2

5/3

2

17/8

13/5

ƒ¡(b)*b

8/15

3/4

1

4/3

ã3

15/8

12/5

s Top t

—ÊŽq—ÍŠw@œ ƒvƒ‰ƒ“ƒN’萔 h~(6.626 069 57)*Ten(-34)_J*sec
~(4.135 667 517)*Ten(-21)_MeV*sec

@h*c~(1.986 445 68)*Ten(-25)_J*m~(1.239 842)*Ten(-6)_eV*m

œ ƒfƒBƒ‰ƒbƒN’萔 h.=h/(2*Pi)~(1.054 571 726)*Ten(-34)_J*sec
~(6.582 119 28)*Ten(-22)_MeV*sec

œ ”÷×\‘¢’萔 ƒ¿
=ke*e^2/[h.*c]
=[1/(4Pi*ƒÃ0)]*e^2/[h.*c]
~(7.297 352 5698)*Ten(-3)@[–³ŽŸŒ³]

@1/ƒ¿~137.035 999 074@h./(ke*e^2)~137/c

uŠî–{‘f—±Žq‚ÌŽ¿—ʁv@m*c^2=@m

¡

_u

m_kg

@m_MeV

“dŽq

0.000 5480

[9.109 382 91]*Ten(-31)

0.510 459

—zŽq

1.007 2764

[1.672 621 777]*Ten(-27)

938.272 046

’†«Žq

1.008 6648

[1.674 927 351]*Ten(-27)

939.565 379

œ “dŽq m=9.109*Ten(-31)_kg@@m=0.510_MeV=8.16*Ten(-7)_erg

—zŽq m=1.673*Ten(-31)_kg@@m=938_MeV

’†«Žq m=1.675*Ten(-31)_kg@@m=940_MeV

œ 4He@4.0026_u@@234Th@234.04_u@@238U@238.05_u

@1_MeV Ì 1.78*Ten(-30)_kg

œ …‘fŒ´Žq‚̃CƒIƒ“‰»ƒGƒlƒ‹ƒM[ 13.6_eV

œ ŒÃ“T“dŽq”¼Œa@e^2/(m*c^2)=2.8*Ten(-15)_m

œ ƒ{[ƒA”¼Œa(…‘fŒ´Žq‚Ì‘å‚«‚³‚Ì–ÚˆÀ) a0
=(4Pi*ƒÃ0)*h.^2/(Me*e^2)
~(5.291 772 1092)*Ten(-11)_m

œ Œ´ŽqŠj‚Ì’¼Œa~2.4*Ten(-15)*[Ž¿—ʐ”]^(1/3)_m

uŒ´Žq‚Ì’¼Œav

¡

…‘f

ƒwƒŠƒEƒ€

’Y‘f

Ž_‘f

“S

‹à

Ž¿—ʐ”

1

4

12

16

56

197

—zŽq‚̐”

1

2

6

8

.

.

Œ´ŽqŠj‚Ì’¼Œa *Ten(-15)_m

2.4

3.81

5.49

6.05

9.18

13.96

Œ´Žq‚Ì’¼Œa *Ten(-10)_m

0.64

2.44

1.83

1.46

2.52

2.92

œ ƒvƒ‰ƒ“ƒN’·‚³=root(h.*G/c^3)=1.62*Ten(-35)_m
ƒvƒ‰ƒ“ƒNŽžŠÔ=ƒvƒ‰ƒ“ƒN’·‚³/c=5.39*Ten(-44)_sec
ƒvƒ‰ƒ“ƒNŽ¿—Ê=2.18*Ten(-8)_kg

œ ‹­‚¢—Í:“dŽ¥‹C—Í=100:1

œ Œ´ŽqŠj‚Ì–§“x~2*Ten(11)_kg/cm^3

”M—ÍŠw@œ ”M“`“±—¦ thermal conductivity@W/(m*K)

@Cu 398@Al 236@Fe 84@ƒKƒ‰ƒX 1@… 0.6

œ •\–Ê’£—́@… 70_dyn/cm

‰F’ˆ@œ 1_Œõ”N=9.461*Ten(15)_m=6.324*Ten(4)_au=3.066*Ten(-1)_pc

@1_Œõ“ú=2.592*Ten(13)_m

@1_au=(1.495 978 707)*Ten(11)_m@{’è‹`’l}

@1_pc=2.06*Ten(5)_au=3.09*Ten(16)_m=3.26_Œõ”N

œ Pi_rad=180°@1•b=1"=(1/3600)°=(1/3600)*Pi/180~4.848*Ten(-6)_rad

œ ”N—î137‰­”N=4.323299*Ten(17)_sec=8.0193*Ten(60)*ƒvƒ‰ƒ“ƒNŽžŠÔ

œ d—͒萔(–œ—Lˆø—͒萔) G=[6.674*Ten(-11)]_m^3/(kg*sec^2)

œ ‘¾—z@Ž¿—Ê Ms~1.99*Ten(30)_kg@Ms/Me=333400

@G*Ms=[6.674*Ten(-11)]*[1.99*Ten(30)]~1.33*Ten(20)_m^3/sec^2

@‘¾—z‚Ì”¼Œa Rs=696300_km~[6.96*Ten(8)]_m

œ ’n‹…@”¼Œa Re=6378.137_km

–ؐ¯”¼Œa=Re/0.08921@‘¾—z”¼Œa=Re/0.009164

Ž¿—Ê M(earth)=5.97*Ten(24)_kg@G*M(earth)=3.99*Ten(14)_m^3/sec^2

’n‹…‚̏d—͉Á‘¬“x{’è‹`’l} g=G*M/R^2=9.81_m/sec^2~1.032_Œõ”N/”N^2

–§“x_g/cm^3@•½‹Ï 5.5@•\–Ê 3@ƒ}ƒ“ƒgƒ‹ 5@ŠOŠj 12@“àŠj 13@’†S 13

‹——£(‘¾—z~’n‹…) Dse=1.495*Ten(11)_m@‰““ú“_ 1.52*Ten(11)_m

•½‹Ï‹O“¹‘¬“x 30_km/sec

Ž©“]‘¬“x(Ô“¹) 1674_Km/h=4.65*Ten(2)_m/sec

Ž©“]Šp‘¬“x 2Pi/(24*3600)=7.27*Ten(-5)_rad/sec

œ ŒŽ@”¼Œa Rm=1.737*Ten(6)_m

Ž¿—Ê Mm=7.347*Ten(22)_kg@Mm/Me~0.0123

Œö“]ŽüŠú 27“ú7ŽžŠÔ43.193•ª=27.322_day@•½‹Ï‹O“¹‘¬“x 1.022_km/sec

’n‹…‚©‚ç‚Ì‹——£@•½‹Ï Dm=3.844*Ten(8)_m@‰“’n“_ 4.055*Ten(8)_m

œ –ؐ¯@Ž©“]ŽüŠú 9ŽžŠÔ56•ª(0.4135“ú)@Ž©“]Šp‘¬“x 1.76*Ten(-4)_rad/sec

œ (‘¾—z-–ؐ¯)=5.2_au
@(‘¾—z-ŠC‰¤¯)=30_au=4.5*Ten(12)_m=0.17_Œõ“ú

œ ƒI[ƒ‹ƒg‚̉_=Ten(4)_au=1.5*Ten(15)_m~60_Œõ“ú

¦ ‚³‚ç‚ɁA‚»‚Ì10”{’ö“x‚܂ōL‚ª‚Á‚Ä‚¢‚é‰Â”\«‚ª‚ ‚é

wsin(x)x@2015/8

x_°

10

20

30

40

45

50

60

70

80

sin(x)

0.174

0.342

0.5

0.643

0.707

0.766

0.866

0.940

0.985

wsin(x),cos(x)x@2016/4

12*x/Pi

1

2

3

4

5

6

7

8

9

10

11

sin(x)

0.259

0.5

0.707

0.866

0.966

1

0.966

0.866

0.707

0.5

0.259

cos(x)

0.966

0.866

0.707

0.5

0.259

0

-0.259

-0.5

-0.707

-0.866

-0.966

w10^xx@2015/8

x

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

10^x

1.26

1.58

2.00

2.51

3.16

3.98

5.01

6.31

7.94

x

0.01

0.02

0.03

0.04

0.05

0.06

0.07

0.08

0.09

10^x

1.02

1.05

1.07

1.10

1.12

1.15

1.17

1.20

1.23

wln(x)x@2015/8

x

1

2

3

4

5

6

7

8

9

ln(x)

0

0.69

1.10

1.39

1.61

1.79

1.95

2.08

2.20

x

10

20

30

40

50

60

70

80

90

ln(x)

2.30

3.00

3.40

3.69

3.91

4.09

4.25

4.38

4.50

ln(2)~0.69315

n¨

0.1

0.5

1

2

3

10

1/e^n

0.905

0.607

0.368

0.135

0.050

0.00005

s Top t

k™‚¨•×‹­‚µ‚悤@2017-2011@Yuji.W™l

inserted by FC2 system