Home » Archimedes archive » Acorn User » AU 1997-01 B.adf » Regulars » StarInfo/Allen/!Ignotum/Formulae/Formulae/Atom

StarInfo/Allen/!Ignotum/Formulae/Formulae/Atom

This website contains an archive of files for the Acorn Electron, BBC Micro, Acorn Archimedes, Commodore 16 and Commodore 64 computers, which Dominic Ford has rescued from his private collection of floppy disks and cassettes.

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# Physics > Atomic and Nuclear

# New entries should take the form of:
#     Formula
#     Note 1
#     Note 2
#     Note 3
#     Note 4
#     Note 5
#     Formula
#     Note 1
#     And so on...
# To fit snugly into the window, each line should be no longer
# than 42 characters.
# There is a limit of 25 formulas per topic.

# Any notes should be made here, at the beginning and should
# be preceeded by a hash (#).

dN/dt=-kN
For radioactive decay, where:
N=number of radioactive particles
t=time
k=decay constant
Note: dN/dt=change in N/change in t
N=N0e^(-kt)
For radioactive decay, where:
N=number of radioactive particles
N0=initial number radioactive particles
e=2.718.., t=time
k=decay constant
T=ln2/k
For radioactive deacy, where:
T=half-life (s)
k=decay constant
Note: ln2=0.693..

E=mc�
Einstein's formula, showing that mass and
energy are interchangeable, where:
E=energy (J)
m=mass (kg)
c=speed of light=3�10^8 m/s
E=hf
For photons, where:
E=energy of photon (J)
h=Planck constant=6.63�10^-34 Js
f=frequency

l=h/p
For particles, where:
l=wavelength
h=Planck constant=6.63�10^-34 Js
p=momentum of particle



















































































































00000000  23 20 50 68 79 73 69 63  73 20 3e 20 41 74 6f 6d  |# Physics > Atom|
00000010  69 63 20 61 6e 64 20 4e  75 63 6c 65 61 72 0a 0a  |ic and Nuclear..|
00000020  23 20 4e 65 77 20 65 6e  74 72 69 65 73 20 73 68  |# New entries sh|
00000030  6f 75 6c 64 20 74 61 6b  65 20 74 68 65 20 66 6f  |ould take the fo|
00000040  72 6d 20 6f 66 3a 0a 23  20 20 20 20 20 46 6f 72  |rm of:.#     For|
00000050  6d 75 6c 61 0a 23 20 20  20 20 20 4e 6f 74 65 20  |mula.#     Note |
00000060  31 0a 23 20 20 20 20 20  4e 6f 74 65 20 32 0a 23  |1.#     Note 2.#|
00000070  20 20 20 20 20 4e 6f 74  65 20 33 0a 23 20 20 20  |     Note 3.#   |
00000080  20 20 4e 6f 74 65 20 34  0a 23 20 20 20 20 20 4e  |  Note 4.#     N|
00000090  6f 74 65 20 35 0a 23 20  20 20 20 20 46 6f 72 6d  |ote 5.#     Form|
000000a0  75 6c 61 0a 23 20 20 20  20 20 4e 6f 74 65 20 31  |ula.#     Note 1|
000000b0  0a 23 20 20 20 20 20 41  6e 64 20 73 6f 20 6f 6e  |.#     And so on|
000000c0  2e 2e 2e 0a 23 20 54 6f  20 66 69 74 20 73 6e 75  |....# To fit snu|
000000d0  67 6c 79 20 69 6e 74 6f  20 74 68 65 20 77 69 6e  |gly into the win|
000000e0  64 6f 77 2c 20 65 61 63  68 20 6c 69 6e 65 20 73  |dow, each line s|
000000f0  68 6f 75 6c 64 20 62 65  20 6e 6f 20 6c 6f 6e 67  |hould be no long|
00000100  65 72 0a 23 20 74 68 61  6e 20 34 32 20 63 68 61  |er.# than 42 cha|
00000110  72 61 63 74 65 72 73 2e  0a 23 20 54 68 65 72 65  |racters..# There|
00000120  20 69 73 20 61 20 6c 69  6d 69 74 20 6f 66 20 32  | is a limit of 2|
00000130  35 20 66 6f 72 6d 75 6c  61 73 20 70 65 72 20 74  |5 formulas per t|
00000140  6f 70 69 63 2e 0a 0a 23  20 41 6e 79 20 6e 6f 74  |opic...# Any not|
00000150  65 73 20 73 68 6f 75 6c  64 20 62 65 20 6d 61 64  |es should be mad|
00000160  65 20 68 65 72 65 2c 20  61 74 20 74 68 65 20 62  |e here, at the b|
00000170  65 67 69 6e 6e 69 6e 67  20 61 6e 64 20 73 68 6f  |eginning and sho|
00000180  75 6c 64 0a 23 20 62 65  20 70 72 65 63 65 65 64  |uld.# be preceed|
00000190  65 64 20 62 79 20 61 20  68 61 73 68 20 28 23 29  |ed by a hash (#)|
000001a0  2e 0a 0a 64 4e 2f 64 74  3d 2d 6b 4e 0a 46 6f 72  |...dN/dt=-kN.For|
000001b0  20 72 61 64 69 6f 61 63  74 69 76 65 20 64 65 63  | radioactive dec|
000001c0  61 79 2c 20 77 68 65 72  65 3a 0a 4e 3d 6e 75 6d  |ay, where:.N=num|
000001d0  62 65 72 20 6f 66 20 72  61 64 69 6f 61 63 74 69  |ber of radioacti|
000001e0  76 65 20 70 61 72 74 69  63 6c 65 73 0a 74 3d 74  |ve particles.t=t|
000001f0  69 6d 65 0a 6b 3d 64 65  63 61 79 20 63 6f 6e 73  |ime.k=decay cons|
00000200  74 61 6e 74 0a 4e 6f 74  65 3a 20 64 4e 2f 64 74  |tant.Note: dN/dt|
00000210  3d 63 68 61 6e 67 65 20  69 6e 20 4e 2f 63 68 61  |=change in N/cha|
00000220  6e 67 65 20 69 6e 20 74  0a 4e 3d 4e 30 65 5e 28  |nge in t.N=N0e^(|
00000230  2d 6b 74 29 0a 46 6f 72  20 72 61 64 69 6f 61 63  |-kt).For radioac|
00000240  74 69 76 65 20 64 65 63  61 79 2c 20 77 68 65 72  |tive decay, wher|
00000250  65 3a 0a 4e 3d 6e 75 6d  62 65 72 20 6f 66 20 72  |e:.N=number of r|
00000260  61 64 69 6f 61 63 74 69  76 65 20 70 61 72 74 69  |adioactive parti|
00000270  63 6c 65 73 0a 4e 30 3d  69 6e 69 74 69 61 6c 20  |cles.N0=initial |
00000280  6e 75 6d 62 65 72 20 72  61 64 69 6f 61 63 74 69  |number radioacti|
00000290  76 65 20 70 61 72 74 69  63 6c 65 73 0a 65 3d 32  |ve particles.e=2|
000002a0  2e 37 31 38 2e 2e 2c 20  74 3d 74 69 6d 65 0a 6b  |.718.., t=time.k|
000002b0  3d 64 65 63 61 79 20 63  6f 6e 73 74 61 6e 74 0a  |=decay constant.|
000002c0  54 3d 6c 6e 32 2f 6b 0a  46 6f 72 20 72 61 64 69  |T=ln2/k.For radi|
000002d0  6f 61 63 74 69 76 65 20  64 65 61 63 79 2c 20 77  |oactive deacy, w|
000002e0  68 65 72 65 3a 0a 54 3d  68 61 6c 66 2d 6c 69 66  |here:.T=half-lif|
000002f0  65 20 28 73 29 0a 6b 3d  64 65 63 61 79 20 63 6f  |e (s).k=decay co|
00000300  6e 73 74 61 6e 74 0a 4e  6f 74 65 3a 20 6c 6e 32  |nstant.Note: ln2|
00000310  3d 30 2e 36 39 33 2e 2e  0a 0a 45 3d 6d 63 b2 0a  |=0.693....E=mc..|
00000320  45 69 6e 73 74 65 69 6e  27 73 20 66 6f 72 6d 75  |Einstein's formu|
00000330  6c 61 2c 20 73 68 6f 77  69 6e 67 20 74 68 61 74  |la, showing that|
00000340  20 6d 61 73 73 20 61 6e  64 0a 65 6e 65 72 67 79  | mass and.energy|
00000350  20 61 72 65 20 69 6e 74  65 72 63 68 61 6e 67 65  | are interchange|
00000360  61 62 6c 65 2c 20 77 68  65 72 65 3a 0a 45 3d 65  |able, where:.E=e|
00000370  6e 65 72 67 79 20 28 4a  29 0a 6d 3d 6d 61 73 73  |nergy (J).m=mass|
00000380  20 28 6b 67 29 0a 63 3d  73 70 65 65 64 20 6f 66  | (kg).c=speed of|
00000390  20 6c 69 67 68 74 3d 33  d7 31 30 5e 38 20 6d 2f  | light=3.10^8 m/|
000003a0  73 0a 45 3d 68 66 0a 46  6f 72 20 70 68 6f 74 6f  |s.E=hf.For photo|
000003b0  6e 73 2c 20 77 68 65 72  65 3a 0a 45 3d 65 6e 65  |ns, where:.E=ene|
000003c0  72 67 79 20 6f 66 20 70  68 6f 74 6f 6e 20 28 4a  |rgy of photon (J|
000003d0  29 0a 68 3d 50 6c 61 6e  63 6b 20 63 6f 6e 73 74  |).h=Planck const|
000003e0  61 6e 74 3d 36 2e 36 33  d7 31 30 5e 2d 33 34 20  |ant=6.63.10^-34 |
000003f0  4a 73 0a 66 3d 66 72 65  71 75 65 6e 63 79 0a 0a  |Js.f=frequency..|
00000400  6c 3d 68 2f 70 0a 46 6f  72 20 70 61 72 74 69 63  |l=h/p.For partic|
00000410  6c 65 73 2c 20 77 68 65  72 65 3a 0a 6c 3d 77 61  |les, where:.l=wa|
00000420  76 65 6c 65 6e 67 74 68  0a 68 3d 50 6c 61 6e 63  |velength.h=Planc|
00000430  6b 20 63 6f 6e 73 74 61  6e 74 3d 36 2e 36 33 d7  |k constant=6.63.|
00000440  31 30 5e 2d 33 34 20 4a  73 0a 70 3d 6d 6f 6d 65  |10^-34 Js.p=mome|
00000450  6e 74 75 6d 20 6f 66 20  70 61 72 74 69 63 6c 65  |ntum of particle|
00000460  0a 0a 0a 0a 0a 0a 0a 0a  0a 0a 0a 0a 0a 0a 0a 0a  |................|
*
000004d0  0a 0a 0a 0a                                       |....|
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