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Photon Absorption/Ionization & Energy Level Diagrams by Barb Newitt (2)

Photon Absorption/Ionization & Energy Level Diagrams by Barb Newitt (2)
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2016-10-28 23:49
VectorCoordinate GeometryInequalityGeometric ConstructionGraphing
This example demonstrates the dynamic visualization of photon absorption, ionization, and atomic energy level transitions. It involves core mathematical concepts such as coordinate systems, geometric constructions, inequality representation, and vector operations. GeoGebra commands and objects like Line, Point, If, Intersect, OrthogonalLine, Slope, Segment, Circle, Midpoint, PolyLine, Textfield, Vector, Polygon are utilized in its construction. Suitable for high school physics and university-level introductory physics education, helping visualize atomic energy levels and quantum transitions.

GeoGebra Commands & Parameters

  1. Line(R_2, M_2) → m_3
  2. Point(yAxis) → C
  3. Point(yAxis) → B
  4. Point(yAxis) → D
  5. Point(yAxis) → E
  6. Point(yAxis) → F
  7. If(t < tcollide, 0, If[t > tcollide + ttransition, ttransition, t - tcollide]) → telectron
  8. If(0 < leveli < 2, 1, 0) → testleveli1
  9. If(3 < leveli < 5, 1, 0) → testleveli4
  10. If(1 < leveli < 3, 1, 0) → testleveli2
  11. If(2 < leveli < 4, 1, 0) → testleveli3
  12. If(4 < leveli < 6, 1, 0) → testleveli5
  13. If(Energynew > (-r), 1, 0) → testA
  14. If(abs(abs(Energynew) - abs(y(E))) < r, 1, 0) → testE
  15. If(levelnumber > 5, 1, 0) → testlevel6
  16. If(abs(abs(Energynew) - abs(y(B))) < r, testlevel6, 0) → testB
  17. If(levelnumber > 4, 1, 0) → testlevel5
  18. If(abs(abs(Energynew) - abs(y(C))) < r, testlevel5, 0) → testC
  19. If(levelnumber > 3, 1, 0) → testlevel4
  20. If(abs(abs(Energynew) - abs(y(D))) < r, testlevel4, 0) → testD
  21. Line(P_2, m_3) → j_3
  22. Line(K_2, yAxis) → i_3
  23. Intersect(i_3, j_3) → T_2
  24. OrthogonalLine(M, m_3) → n
  25. Intersect(n, j_3) → P
  26. Slope(m_3) → slopephotonpath
  27. Line(A, xAxis) → f
  28. Point(f) → K
  29. OrthogonalLine(K, f) → f_2
  30. Line(C, xAxis) → h
  31. Intersect(h, f_2) → O_1
  32. Segment(C, O_1) → i_2
  33. Segment(A, K) → g_2
  34. Line(F, xAxis) → k
  35. Intersect(k, f_2) → S_2
  36. Segment(F, S_2) → l_2
  37. Line(E, xAxis) → j
  38. Intersect(j, f_2) → Q_1
  39. Segment(E, Q_1) → k_2
  40. Line(D, xAxis) → i
  41. Intersect(i, f_2) → P_1
  42. Segment(D, P_1) → j_2
  43. Line(B, xAxis) → g
  44. Intersect(g, f_2) → N_1
  45. Segment(B, N_1) → h_2
  46. If(490 < w < 510, (-((w - 510) / 20)), If[380 < w < 491, 1, 0]) → BCoeff
  47. If(440 < w < 490, (w - 440) / 50, If[580 < w < 645, (-((w - 645) / 65)), If[489 < w < 581, 1, 0]]) → GCoeff
  48. If(380 < w < 440, (w - 440) / 60, If[510 < w < 580, (w - 510) / 70, If[579 < w < 780, 1, 0]]) → RCoeff
  49. Line(I_2, L_2) → p_3
  50. OrthogonalLine(J_2, m_3) → q_3
  51. OrthogonalLine(I_2, m_3) → r_3
  52. Circle(I_2, 1) → c_3
  53. Intersect(c_3, r_3) → N_2, O_2
  54. Intersect(q_3, j_3) → W_2
  55. Circle(W_2, 1) → d_3
  56. Intersect(d_3, q_3, 1) → Z_2
  57. Midpoint(Z_2, O_2) → A_3
  58. Midpoint(I_2, W_2) → B_3
  59. Midpoint(B_3, I_2) → C_3
  60. Midpoint(C_3, I_2) → D_3
  61. Midpoint(O_2, A_3) → E_3
  62. Midpoint(E_3, A_3) → F_3
  63. Midpoint(B_3, W_2) → G_3
  64. Midpoint(I_2, O_2) → I_3
  65. Midpoint(B_3, G_3) → J_3
  66. Midpoint(A_3, Z_2) → K_3
  67. Midpoint(K_3, Z_2) → L_3
  68. Midpoint(Z_2, W_2) → M_3
  69. PolyLine(I_3, D_3, F_3, J_3, L_3, M_3) → s_3
  70. If(t > tcollide, 1, 0) → testcollide
  71. If(tcollide + ttransition < t, 1, 0) → testtimeionize
  72. Textfield(w) → InputBox1
  73. If(abs(Energyphoton) > abs(electroni), (-electroni), Energyphoton) → transitionarrow
  74. Vector(G, H) → u
  75. Segment(I, J) → l
  76. Circle(P, 1) → d
  77. Circle(L, 1) → c
  78. OrthogonalLine(L, m_3) → m
  79. Intersect(c, m, 1) → N
  80. Intersect(d, n, 1) → O
  81. Midpoint(L, P) → Q
  82. Midpoint(N, O) → R
  83. Midpoint(L, N) → S
  84. Midpoint(P, O) → T
  85. Midpoint(L, Q) → U
  86. Midpoint(L, U) → V
  87. Midpoint(N, R) → W
  88. Midpoint(W, R) → Z
  89. Midpoint(Q, P) → A_1
  90. Midpoint(Q, A_1) → B_1
  91. Midpoint(R, O) → C_1
  92. Midpoint(C_1, O) → D_1
  93. PolyLine(S, V, Z, B_1, D_1, T) → p
  94. Polygon(E_1, F_1, G_1, H_1) → poly1, e_1, f_1, g_1, h_1

AI Drawing Prompt Reference

Draw a diagram showing atomic energy level transitions. Include circles representing different energy levels, connected by line segments. Add arrows indicating photon absorption and ionization processes, and horizontal lines representing energy thresholds. The diagram should clearly show the relationships between energy levels to help understand quantum energy conversion concepts.
The prompt above was compiled from the original drawing commands and is for reference only.