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光子吸收/电离与能级图 by Barb Newitt

光子吸收/电离与能级图 by Barb Newitt
几何画板及绘图内容加载中，请稍等……
2016-10-28 23:49
向量解析几何不等式几何作图函数图像
①本范例演示光子吸收、电离及原子能级跃迁的动态图形；②涉及核心数学概念包括坐标系、几何作图、不等式表示及向量运算；③构造中运用了Line, Point, If, Intersect, OrthogonalLine, Slope, Segment, Circle, Midpoint, PolyLine, Textfield, Vector, Polygon等GeoGebra命令与对象；④适合高中物理及大学基础物理教学，用于可视化理解原子能级与量子跃迁过程。

GeoGebra 命令及参数

  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 绘图提示语参考

绘制一个展示原子能级跃迁的图形。图中包含多个代表不同能级的圆圈，以及连接这些圆圈的线段。还需要画出一些代表光子吸收和电离过程的箭头，以及一些表示能量阈值的水平线。图形应清晰展示能级之间的过渡关系，帮助理解量子物理中的能量转换概念。
以上提示语为根据原始绘图命令整理而来，仅供参考。