BOHRS ATOOMMODEL
FILE INFORMATION
FILENAME(S): BOHRS ATOOMMODEL
FILE TYPE(S): PRG
FILE SIZE: 15.1K
FIRST SEEN: 2025-11-30 21:23:17
APPEARS ON: 1 disk(s)
FILE HASH
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FOUND ON DISKS (1 DISKS)
| DISK TITLE | FILENAME | FILE TYPE | COLLECTION | TRACK | SECTOR | ACTIONS |
|---|---|---|---|---|---|---|
| C64 SPEL 105 2 | BOHRS ATOOMMODEL | PRG | DuncanTwain | 27 | 8 | DOWNLOAD FILE |
FILE CONTENT & ANALYSIS
> DETECTED: COMMODORE BASIC PROGRAM (LOAD ADDRESS $0801)
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000039A0: 97 43 42 AA 36 39 32 2C 43 4C 00 C4 41 EE 1B 97 |.CB.692,CL..A...|
000039B0: 53 42 AA 37 33 33 2C 39 36 3A 97 43 42 AA 37 33 |SB.733,96:.CB.73|
000039C0: 33 2C 43 4C 00 D1 41 20 1C 5A B2 53 42 AA 36 35 |3,CL..A .Z.SB.65|
000039D0: 33 00 DD 41 25 1C 81 20 43 B2 31 A4 36 00 F0 41 |3..A%.. C.1.6..A|
000039E0: 2A 1C 97 5A 2C 34 36 3A 97 5A AA 44 46 2C 43 4C |*..Z,46:.Z.DF,CL|
000039F0: 00 06 42 2F 1C 81 20 46 47 B2 31 A4 31 30 30 20 |..B/.. FG.1.100 |
00003A00: 3A 20 82 20 46 47 00 19 42 34 1C 97 5A 2C 39 36 |: . FG..B4..Z,96|
00003A10: 3A 97 5A AA 44 46 2C 43 4C 00 24 42 39 1C 5A B2 |:.Z.DF,CL.$B9.Z.|
00003A20: 5A AB 38 30 00 2C 42 48 1C 82 20 43 00 46 42 4D |Z.80.,BH.. C.FBM|
00003A30: 1C 97 53 42 AA 32 31 33 2C 34 36 3A 97 43 42 AA |..SB.213,46:.CB.|
00003A40: 32 31 33 2C 43 4C 00 5A 42 52 1C 81 5A B2 31 A4 |213,CL.ZBR..Z.1.|
00003A50: 31 32 30 30 20 3A 20 82 20 5A 00 8C 42 84 1C 99 |1200 : . Z..B...|
00003A60: 22 91 91 91 54 48 45 20 45 4C 45 43 54 52 4F 4E |"...THE ELECTRON|
00003A70: 20 57 49 4C 4C 20 4C 41 54 45 52 20 46 41 4C 4C | WILL LATER FALL|
00003A80: 20 54 4F 20 54 48 45 20 4E 3D 31 22 00 BA 42 89 | TO THE N=1"..B.|
00003A90: 1C 99 22 4C 45 56 45 4C 20 45 4D 49 54 54 49 4E |.."LEVEL EMITTIN|
00003AA0: 47 20 41 4E 20 45 4C 45 43 54 52 4F 4D 41 47 4E |G AN ELECTROMAGN|
00003AB0: 45 54 49 43 20 57 41 56 45 22 00 D1 42 E8 1C 81 |ETIC WAVE"..B...|
00003AC0: 20 43 56 B2 31 A4 31 38 30 30 20 3A 20 82 20 43 | CV.1.1800 : . C|
00003AD0: 56 00 EC 42 F2 1C 97 53 42 AA 32 31 33 2C 31 30 |V..B...SB.213,10|
00003AE0: 30 3A 97 43 42 AA 32 31 33 2C 43 4C 00 F9 42 FC |0:.CB.213,CL..B.|
00003AF0: 1C 58 B2 53 42 AA 32 35 33 00 07 43 FD 1C 58 41 |.X.SB.253..C..XA|
00003B00: B2 53 42 AA 32 35 34 00 15 43 FE 1C 58 42 B2 53 |.SB.254..C..XB.S|
00003B10: 42 AA 32 35 35 00 23 43 FF 1C 58 43 B2 53 42 AA |B.255.#C..XC.SB.|
00003B20: 32 35 36 00 2F 43 01 1D 81 20 42 B2 31 A4 37 00 |256./C... B.1.7.|
00003B30: 44 43 06 1D 97 58 41 2C 32 38 3A 97 58 41 AA 44 |DC...XA,28:.XA.D|
00003B40: 46 2C 43 4C 00 59 43 07 1D 97 58 42 2C 34 37 3A |F,CL.YC...XB,47:|
00003B50: 97 58 42 AA 44 46 2C 43 4C 00 6E 43 08 1D 97 58 |.XB.DF,CL.nC...X|
00003B60: 43 2C 32 38 3A 97 58 43 AA 44 46 2C 43 4C 00 81 |C,28:.XC.DF,CL..|
00003B70: 43 10 1D 97 58 2C 34 36 3A 97 58 AA 44 46 2C 43 |C...X,46:.X.DF,C|
00003B80: 4C 00 97 43 1A 1D 81 20 47 59 B2 31 A4 31 30 30 |L..C... GY.1.100|
00003B90: 20 3A 20 82 20 47 59 00 A1 43 2E 1D 97 58 2C 39 | : . GY..C...X,9|
00003BA0: 36 00 AC 43 2F 1D 97 58 41 2C 39 36 00 B7 43 30 |6..C/..XA,96..C0|
00003BB0: 1D 97 58 42 2C 39 36 00 C2 43 31 1D 97 58 43 2C |..XB,96..C1..XC,|
00003BC0: 39 36 00 CD 43 38 1D 58 B2 58 AA 38 30 00 D9 43 |96..C8.X.X.80..C|
00003BD0: 3A 1D 58 42 B2 58 42 AA 32 00 E5 43 3B 1D 58 43 |:.XB.XB.2..C;.XC|
00003BE0: B2 58 43 AA 32 00 F1 43 3C 1D 58 41 B2 58 41 AA |.XC.2..C<.XA.XA.|
00003BF0: 32 00 F9 43 42 1D 82 20 42 00 13 44 4C 1D 97 53 |2..CB.. B..DL..S|
00003C00: 42 AA 37 33 33 2C 34 36 3A 97 43 42 AA 37 33 33 |B.733,46:.CB.733|
00003C10: 2C 43 4C 00 28 44 B0 1D 81 44 46 B2 31 A4 31 30 |,CL.(D...DF.1.10|
00003C20: 30 30 20 3A 20 82 44 46 00 2E 44 BA 1D 8E 00 00 |00 : .DF..D.....|
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....... H(50),B(50),B$(50). .....?.... C
OPYRIGHT J.SWEENEY 1980.E.....X...."."G(
142):SB.1024:CB.55296:DF.55296.1024:CL.1
.~.........." O.................
.....P".P...." .HYDROGEN ENERGY
LEVELS."......" L...............
........"......"..0...." EARLY THIS CENT
URY NEILS BOHR PROPOSED".6.....C...." A
THEORY FOR THE HYDROGEN ATOM WHICH".I...
......." BEGAN THE FIELD OF QUANTUM PHYS
ICS .".............O...." THIS THEORY AS
SUMED THAT AN ELECTRON".U.........." COU
LD ONLY OCCUPY ONE OF N DISCRETE"... ...
6.!.." ORBITS . FOR AN ORBIT TO BE STABL
E ITS".<."...K.#.." ANGULAR MOMENTUM MUS
T EQUAL AN INTEGER".Q.$.....%.." , N , T
IMES A CONSTANT ... PRESS
RETURN.B.&..V$:.V$."". 38.T.'..F(V$)..1
3.38...(.."......).." THIS THEORY CAN BE
SHOWN AS :-"...*.."....+...5.,.."
O.................P".C.-.." .
N.H . O.P"......"
. M.V.R = CCCCC . . . . . .1.".../.."
. 2.. . L..".
..0.." L.................."...1...
..2..".....3.." N = 1,2,3,4,5,6.....
..."...4...;.5.." M = MASS OF ELECTR
ON".A.6...B.7.." V = ORBITAL VELOCIT
Y".H.8.....9.." R = RADIUS OF ORBIT
"...:...L.;.." H = PLANCK'S CONSTAN
T. PRESS RETURN...<..V$:.V$
."".60...=..F(V$)..13.60...>.."...'.?.."
FOR A STABLE ORBIT THE CENTRIPETAL AND".
-.@...Z.A.." ELECTROSTATIC FORCES MUST B
E EQUAL .".`.C...F.E...L.F.....N.."
O...............P"...O.." . 2
2 .".R.P.." . M.V K.E .
O.P"...Q.." . ... = ... .
. . . . .2.".&.R.." . 2
. L..".D.S.." . R R
.".B.T.." L................".K.U..
".....W.." ... ...
"...X.."COMBINE EQUATIONS .1. AND .2. TO
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..."...Z.."A FORMULA GIVING R IN TERMS
INDEPENDANT ".#.\.."OF V .".).]...=.^.."
PRESS RETURN".O._..V$:.V$."".95.A.`..F(V
$)..13.95.J.D..".....E.." O.........
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" . N . H . O.P"...H
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.I.." . 2 2 . L.."
.<.J.." . K.E.4...M .".X.K.."
L..............".`.L.."....M.." THE COMP
UTER WILL NOW USE THIS FORMULA ".A.O.."
TO CALCULATE THE RADIUS OF THE ORBITING
"...Q.." ELECTRONS FOR THE 8 ORBITS DEFI
NED BY"...R.....S.." N = 1,2,3,4,5,6,20
AND 100 .". .T...&.U...V.V.." THE RADII
ARE GIVEN IN ANGSTROM UNITS ".S...."
W -10"......" 1 A
= 10 M"............"PRESS RETURN".....
.V$:.V$."".133.Q....F(V$)..13.133......
Q.1 . 6.....N(Q).Q.....R1(Q).N(Q).N(Q).0
.528...... Q.....N(7).20.%...N(8).100.9.
..R1(7).400.0.528.O...R1(8).10000.0.528.
X...."..._...."......"
O"......" QUANTUM NUMBER
RADIUS IN A ".Z...." ..............
........... "...... Q. 1 . 8.......
....." " N(Q)" " R1(Q).
.. .. Q.%.....U...."COPY DOWN THESE RESU
LTS TO PLOT LATER ..J...."PRESS RETURN
".}....V$:.V$."".165......F(V$)..13.165
......"...B...."WHEN HYDROGEN ABSORBS EN
ERGY ITS ".H.........."ELECTRON MAY MOVE
TO A HIGHER ORBIT".............(...." .
......... N=2 .......O..".O...."
B".V...."
B"......"
B".D...."
B"......" P
. B"......" P
....MM B".9...." P
....NN B".`...." P
. B"......" M.
^B "......" .
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B".&...."........O..
N=1 .........."./...."...C...."PR
ESS RETURN".V....V$:.V$."".191.I....F(V$
)..13.191.R.A.."... .B.."IF THE ELECTRON
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ER LEVEL , ENERGY IS EMITTED AS AN".Y.E.
....F.."ELECTROMAGNETIC WAVE ."...G...&.
H.." ....O..... N=2 ..........".H
.I.." B ".J.J.."
B "...K.." B
. "...L.." B
N. "...M.." B
B O "...N.."
V B . O ".6.O.."
B ....MM O ".[.P.."
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. ". .R.." B
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.......".W.."PRESS RETURN".(.X...;.Y..V$
:.V$."".217.N.Z..F(V$)..13.217.X....".EA
CH ORBIT HAS A PARTICULAR ENERGY.~......
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:-"......"........" O.........
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= H.F .".N...." . 2 1
.".U...." L...............
..........."THE ENERGY OF THE EMITTED WA
VE DEPENDS".......W...."UPON THE ENERGY
DIFFERENCE BETWEEN THE"............"ORBI
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.FINISHES IN ...3...."PRESS RETURN".G...
. V$:.V$."".236.Z....F(V$)..13.236.D....
1100.N....2103.X....6000......3000......
".....THE FOLLOWING DIAGRAM SHOWS ENERGY
"............"LEVELS FOR THE HYDROGEN AT
OM ."......".........."SOME OF THE 'SERI
ES' OF LIGHT EMITTED".......I...."ARE SH
OWN AS VERTICAL LINES . THE MORE".O.....
|...."IMPORTANT OF THESE SERIES ARE NAME
D ."......"........PRESS RETURN......V$:
.V$."".252......F(V$)..13.252.E...."....
..." GROUND LEVEL (FREE ELECTRON)"..
...." .................................
.".C...." ..L............L..........L..
..".O...." .. .. ..
N=5"......" ..LL...........LL.......
..LL...".D...." ... ...
... N=4"......" ... ...
... "......" ..LLL..........
LLL........LLL..".E...." ....
.... N=3".Q...." ....
.... "......" ....
....CC BALMER SERIES".K...."
.... .... (VISIBLE) ".....
." .... .... ".
#...." ..LLLL.........LLLL............N
=2".O...." .....
".`...." .....".Q...." .....
". ...." .....CC LYMAN SERIES (ULTRAC
VIOLET)"......" .....".B...." ....
.".T...." ..... ".. ..." ..LLLLL....
....................N=1".. ..... ..."PRE
SS RETURN".- "..V$:.V$."".290.@ #..F(V$)
..13.290.J '..7000.T ,..".... -.."THE C
OMPUTER WILL NOW CALCULATE THE".. .....
/.."WAVELENGTH OF THE ELECTROMAGNETIC WA
VE".. 0.... 1.."EMITTED AS AN ELECTRON F
ALLS TO A".. 2....!3.."CERTAIN LEVEL FRO
M EACH OF THE 8 LEVELS"..!4.../!5.."ABOV
E IT .".5!6...=!7.."..C!8...O!9.."COPY D
OWN THE VALUES IN YOUR BOOKLET".U!:....!
;.."AS YOU WORK THROUGH THE PROGRAM ."..
!<....!=....!>.."...!?.."TYPE IN THE ENE
RGY LEVEL TO BE USED"..!@...."A.."( N =
1,2,3,4,5,6 . . . . .) .".."B...."C.. L1
.$"J.L..(L1).5"K.. L..1 . 340.E"M.."ERRO
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O".."
^.." ENERGY LEVELS WAVELENGTH IN
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(K.K.L.L).((K.K).(L.L))).T#E.N2(Q).K.^#F
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. Q. 1 . 8..$... W(Q).MIN . MIN.W(Q)..$.
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PLOT OF THE PRECEEDING SPECTRUM".W%C.."
.....................................
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."..*..." .THE PROGRAM IS
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."..+..." .*******************
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