Online Length Units Converter
How to Convert from A.u. of length [a.u., b] to Earth's Equatorial Radius

How to Convert from A.u. of length [a.u., b] to Earth's Equatorial Radius

Learn how to convert atomic units of length (Bohr radius) to Earth's equatorial radius using a precise conversion factor. Understand applications and limitations of this conversion.

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A.u. of length [a.u., b] to Earth's equatorial radius Conversion Table

A.u. of length [a.u., b] Earth's equatorial radius

Custom Unit Conversion Table Generator – Instant Printable Conversion Tables

Enter the starting number (positive decimal or integer ≥ 0). Example: 0.1, 1, 5.
Enter the ending number (positive decimal or integer > Start Value). Example: 10, 50, 100.
Enter the step size (positive decimal > 0 and < End Value – Start Value). Example: 1.0, 2.5.
A.u. of length [a.u., b] to Earth's equatorial radius Conversion Table
A.u. of length [a.u., b] Earth's equatorial radius

Explore More Length Units Converter

  1. How to convert from meter [m] to a.u. of length [a.u., b]?
  2. How to convert from a.u. of length [a.u., b] to meter [m]?
  3. How to convert from kilometer [km] to a.u. of length [a.u., b]?
  4. How to convert from a.u. of length [a.u., b] to kilometer [km]?
  5. How to convert from decimeter [dm] to a.u. of length [a.u., b]?
  6. How to convert from a.u. of length [a.u., b] to decimeter [dm]?
  7. How to convert from centimeter [cm] to a.u. of length [a.u., b]?
  8. How to convert from a.u. of length [a.u., b] to centimeter [cm]?
  9. How to convert from millimeter [mm] to a.u. of length [a.u., b]?
  10. How to convert from a.u. of length [a.u., b] to millimeter [mm]?
  11. How to convert from micrometer [µm] to a.u. of length [a.u., b]?
  12. How to convert from a.u. of length [a.u., b] to micrometer [µm]?
  13. How to convert from nanometer [nm] to a.u. of length [a.u., b]?
  14. How to convert from a.u. of length [a.u., b] to nanometer [nm]?
  15. How to convert from mile [mi, mi(Int)] to a.u. of length [a.u., b]?
  16. How to convert from a.u. of length [a.u., b] to mile [mi, mi(Int)]?
  17. How to convert from yard [yd] to a.u. of length [a.u., b]?
  18. How to convert from a.u. of length [a.u., b] to yard [yd]?
  19. How to convert from foot [ft] to a.u. of length [a.u., b]?
  20. How to convert from a.u. of length [a.u., b] to foot [ft]?
  21. How to convert from inch [in] to a.u. of length [a.u., b]?
  22. How to convert from a.u. of length [a.u., b] to inch [in]?
  23. How to convert from light year [ly] to a.u. of length [a.u., b]?
  24. How to convert from a.u. of length [a.u., b] to light year [ly]?
  25. How to convert from exameter [Em] to a.u. of length [a.u., b]?
  26. How to convert from a.u. of length [a.u., b] to exameter [Em]?
  27. How to convert from petameter [Pm] to a.u. of length [a.u., b]?
  28. How to convert from a.u. of length [a.u., b] to petameter [Pm]?
  29. How to convert from terameter [Tm] to a.u. of length [a.u., b]?
  30. How to convert from a.u. of length [a.u., b] to terameter [Tm]?
  31. How to convert from gigameter [Gm] to a.u. of length [a.u., b]?
  32. How to convert from a.u. of length [a.u., b] to gigameter [Gm]?
  33. How to convert from megameter [Mm] to a.u. of length [a.u., b]?
  34. How to convert from a.u. of length [a.u., b] to megameter [Mm]?
  35. How to convert from hectometer [hm] to a.u. of length [a.u., b]?
  36. How to convert from a.u. of length [a.u., b] to hectometer [hm]?
  37. How to convert from dekameter [dam] to a.u. of length [a.u., b]?
  38. How to convert from a.u. of length [a.u., b] to dekameter [dam]?
  39. How to convert from micron [µ] to a.u. of length [a.u., b]?
  40. How to convert from a.u. of length [a.u., b] to micron [µ]?
  41. How to convert from picometer [pm] to a.u. of length [a.u., b]?
  42. How to convert from a.u. of length [a.u., b] to picometer [pm]?
  43. How to convert from femtometer [fm] to a.u. of length [a.u., b]?
  44. How to convert from a.u. of length [a.u., b] to femtometer [fm]?
  45. How to convert from attometer [am] to a.u. of length [a.u., b]?
  46. How to convert from a.u. of length [a.u., b] to attometer [am]?
  47. How to convert from megaparsec [Mpc] to a.u. of length [a.u., b]?
  48. How to convert from a.u. of length [a.u., b] to megaparsec [Mpc]?
  49. How to convert from kiloparsec [kpc] to a.u. of length [a.u., b]?
  50. How to convert from a.u. of length [a.u., b] to kiloparsec [kpc]?
  51. How to convert from parsec [pc] to a.u. of length [a.u., b]?
  52. How to convert from a.u. of length [a.u., b] to parsec [pc]?
  53. How to convert from astronomical unit [AU, UA] to a.u. of length [a.u., b]?
  54. How to convert from a.u. of length [a.u., b] to astronomical unit [AU, UA]?
  55. How to convert from league [lea] to a.u. of length [a.u., b]?
  56. How to convert from a.u. of length [a.u., b] to league [lea]?
  57. How to convert from nautical league (UK) to a.u. of length [a.u., b]?
  58. How to convert from a.u. of length [a.u., b] to nautical league (UK)?
  59. How to convert from nautical league (int.) to a.u. of length [a.u., b]?
  60. How to convert from a.u. of length [a.u., b] to nautical league (int.)?
  61. How to convert from league (statute) [st.league] to a.u. of length [a.u., b]?
  62. How to convert from a.u. of length [a.u., b] to league (statute) [st.league]?
  63. How to convert from nautical mile (UK) [NM (UK)] to a.u. of length [a.u., b]?
  64. How to convert from a.u. of length [a.u., b] to nautical mile (UK) [NM (UK)]?
  65. How to convert from nautical mile (international) to a.u. of length [a.u., b]?
  66. How to convert from a.u. of length [a.u., b] to nautical mile (international)?
  67. How to convert from mile (statute) [mi, mi (US)] to a.u. of length [a.u., b]?
  68. How to convert from a.u. of length [a.u., b] to mile (statute) [mi, mi (US)]?
  69. How to convert from mile (US survey) [mi] to a.u. of length [a.u., b]?
  70. How to convert from a.u. of length [a.u., b] to mile (US survey) [mi]?
  71. How to convert from mile (Roman) to a.u. of length [a.u., b]?
  72. How to convert from a.u. of length [a.u., b] to mile (Roman)?
  73. How to convert from kiloyard [kyd] to a.u. of length [a.u., b]?
  74. How to convert from a.u. of length [a.u., b] to kiloyard [kyd]?
  75. How to convert from furlong [fur] to a.u. of length [a.u., b]?
  76. How to convert from a.u. of length [a.u., b] to furlong [fur]?
  77. How to convert from furlong (US survey) [fur] to a.u. of length [a.u., b]?
  78. How to convert from a.u. of length [a.u., b] to furlong (US survey) [fur]?
  79. How to convert from chain [ch] to a.u. of length [a.u., b]?
  80. How to convert from a.u. of length [a.u., b] to chain [ch]?
  81. How to convert from chain (US survey) [ch] to a.u. of length [a.u., b]?
  82. How to convert from a.u. of length [a.u., b] to chain (US survey) [ch]?
  83. How to convert from rope to a.u. of length [a.u., b]?
  84. How to convert from a.u. of length [a.u., b] to rope?
  85. How to convert from rod [rd] to a.u. of length [a.u., b]?
  86. How to convert from a.u. of length [a.u., b] to rod [rd]?
  87. How to convert from rod (US survey) [rd] to a.u. of length [a.u., b]?
  88. How to convert from a.u. of length [a.u., b] to rod (US survey) [rd]?
  89. How to convert from perch to a.u. of length [a.u., b]?
  90. How to convert from a.u. of length [a.u., b] to perch?
  91. How to convert from pole to a.u. of length [a.u., b]?
  92. How to convert from a.u. of length [a.u., b] to pole?
  93. How to convert from fathom [fath] to a.u. of length [a.u., b]?
  94. How to convert from a.u. of length [a.u., b] to fathom [fath]?
  95. How to convert from fathom (US survey) [fath] to a.u. of length [a.u., b]?
  96. How to convert from a.u. of length [a.u., b] to fathom (US survey) [fath]?
  97. How to convert from ell to a.u. of length [a.u., b]?
  98. How to convert from a.u. of length [a.u., b] to ell?
  99. How to convert from foot (US survey) [ft] to a.u. of length [a.u., b]?
  100. How to convert from a.u. of length [a.u., b] to foot (US survey) [ft]?
  101. How to convert from link [li] to a.u. of length [a.u., b]?
  102. How to convert from a.u. of length [a.u., b] to link [li]?
  103. How to convert from link (US survey) [li] to a.u. of length [a.u., b]?
  104. How to convert from a.u. of length [a.u., b] to link (US survey) [li]?
  105. How to convert from cubit (UK) to a.u. of length [a.u., b]?
  106. How to convert from a.u. of length [a.u., b] to cubit (UK)?
  107. How to convert from hand to a.u. of length [a.u., b]?
  108. How to convert from a.u. of length [a.u., b] to hand?
  109. How to convert from span (cloth) to a.u. of length [a.u., b]?
  110. How to convert from a.u. of length [a.u., b] to span (cloth)?
  111. How to convert from finger (cloth) to a.u. of length [a.u., b]?
  112. How to convert from a.u. of length [a.u., b] to finger (cloth)?
  113. How to convert from nail (cloth) to a.u. of length [a.u., b]?
  114. How to convert from a.u. of length [a.u., b] to nail (cloth)?
  115. How to convert from inch (US survey) [in] to a.u. of length [a.u., b]?
  116. How to convert from a.u. of length [a.u., b] to inch (US survey) [in]?
  117. How to convert from barleycorn to a.u. of length [a.u., b]?
  118. How to convert from a.u. of length [a.u., b] to barleycorn?
  119. How to convert from mil [mil, thou] to a.u. of length [a.u., b]?
  120. How to convert from a.u. of length [a.u., b] to mil [mil, thou]?
  121. How to convert from microinch to a.u. of length [a.u., b]?
  122. How to convert from a.u. of length [a.u., b] to microinch?
  123. How to convert from angstrom [A] to a.u. of length [a.u., b]?
  124. How to convert from a.u. of length [a.u., b] to angstrom [A]?
  125. How to convert from X-unit [X] to a.u. of length [a.u., b]?
  126. How to convert from a.u. of length [a.u., b] to X-unit [X]?
  127. How to convert from fermi [F, f] to a.u. of length [a.u., b]?
  128. How to convert from a.u. of length [a.u., b] to fermi [F, f]?
  129. How to convert from arpent to a.u. of length [a.u., b]?
  130. How to convert from a.u. of length [a.u., b] to arpent?
  131. How to convert from pica to a.u. of length [a.u., b]?
  132. How to convert from a.u. of length [a.u., b] to pica?
  133. How to convert from point to a.u. of length [a.u., b]?
  134. How to convert from a.u. of length [a.u., b] to point?
  135. How to convert from twip to a.u. of length [a.u., b]?
  136. How to convert from a.u. of length [a.u., b] to twip?
  137. How to convert from aln to a.u. of length [a.u., b]?
  138. How to convert from a.u. of length [a.u., b] to aln?
  139. How to convert from famn to a.u. of length [a.u., b]?
  140. How to convert from a.u. of length [a.u., b] to famn?
  141. How to convert from caliber [cl] to a.u. of length [a.u., b]?
  142. How to convert from a.u. of length [a.u., b] to caliber [cl]?
  143. How to convert from centiinch [cin] to a.u. of length [a.u., b]?
  144. How to convert from a.u. of length [a.u., b] to centiinch [cin]?
  145. How to convert from ken to a.u. of length [a.u., b]?
  146. How to convert from a.u. of length [a.u., b] to ken?
  147. How to convert from Russian archin to a.u. of length [a.u., b]?
  148. How to convert from a.u. of length [a.u., b] to Russian archin?
  149. How to convert from Roman actus to a.u. of length [a.u., b]?
  150. How to convert from a.u. of length [a.u., b] to Roman actus?
  151. How to convert from vara de tarea to a.u. of length [a.u., b]?
  152. How to convert from a.u. of length [a.u., b] to vara de tarea?
  153. How to convert from vara conuquera to a.u. of length [a.u., b]?
  154. How to convert from a.u. of length [a.u., b] to vara conuquera?
  155. How to convert from vara castellana to a.u. of length [a.u., b]?
  156. How to convert from a.u. of length [a.u., b] to vara castellana?
  157. How to convert from cubit (Greek) to a.u. of length [a.u., b]?
  158. How to convert from a.u. of length [a.u., b] to cubit (Greek)?
  159. How to convert from long reed to a.u. of length [a.u., b]?
  160. How to convert from a.u. of length [a.u., b] to long reed?
  161. How to convert from reed to a.u. of length [a.u., b]?
  162. How to convert from a.u. of length [a.u., b] to reed?
  163. How to convert from long cubit to a.u. of length [a.u., b]?
  164. How to convert from a.u. of length [a.u., b] to long cubit?
  165. How to convert from handbreadth to a.u. of length [a.u., b]?
  166. How to convert from a.u. of length [a.u., b] to handbreadth?
  167. How to convert from fingerbreadth to a.u. of length [a.u., b]?
  168. How to convert from a.u. of length [a.u., b] to fingerbreadth?
  169. How to convert from Planck length to a.u. of length [a.u., b]?
  170. How to convert from a.u. of length [a.u., b] to Planck length?
  171. How to convert from Electron radius (classical) to a.u. of length [a.u., b]?
  172. How to convert from a.u. of length [a.u., b] to Electron radius (classical)?
  173. How to convert from Bohr radius [b, a.u.] to a.u. of length [a.u., b]?
  174. How to convert from a.u. of length [a.u., b] to Bohr radius [b, a.u.]?
  175. How to convert from Earth's equatorial radius to a.u. of length [a.u., b]?
  176. How to convert from a.u. of length [a.u., b] to Earth's equatorial radius?
  177. How to convert from Earth's polar radius to a.u. of length [a.u., b]?
  178. How to convert from a.u. of length [a.u., b] to Earth's polar radius?
  179. How to convert from Earth's distance from sun to a.u. of length [a.u., b]?
  180. How to convert from a.u. of length [a.u., b] to Earth's distance from sun?
  181. How to convert from Sun's radius to a.u. of length [a.u., b]?
  182. How to convert from a.u. of length [a.u., b] to Sun's radius?

What Is This Tool?

This tool allows you to convert lengths measured in atomic units of length, specifically the Bohr radius, to the Earth's equatorial radius. It helps relate quantum-scale distances to planetary-scale measurements.

How to Use This Tool?

  • Enter the length value in atomic units (a.u. of length [a.u., b]).
  • Select the input unit as atomic unit of length (Bohr radius).
  • Choose Earth's equatorial radius as the output unit.
  • Click convert to see the equivalent length in Earth's equatorial radius.
  • Review the result and use it for interdisciplinary scaling or analysis.

Key Features

  • Converts atomic length units based on the Bohr radius to Earth's equatorial radius.
  • Uses a defined conversion rate: 1 a.u. of length equals 8.2967070283594e-18 Earth's equatorial radius.
  • Supports applications bridging atomic physics and geophysical or aerospace contexts.
  • Provides clear examples illustrating typical conversions.
  • Browser-based and easy to use.

Examples

  • 10 a.u. of length [a.u., b] = 8.2967070283594e-17 Earth's equatorial radius
  • 1,000 a.u. of length [a.u., b] = 8.2967070283594e-15 Earth's equatorial radius

Common Use Cases

  • Reporting sizes of electron orbitals and radial probability distributions in atomic and molecular physics.
  • Specifying interatomic distances in quantum-chemistry computations such as Hartree–Fock and DFT.
  • Non-dimensionalizing parameters in theoretical atomic-scale models to simplify numerical calculations.
  • Defining reference ellipsoids and map projections in geodesy and cartography.
  • Calculating satellite orbits and ground tracks in aerospace engineering.
  • Converting geodetic to geocentric coordinates for surveying and Earth science models.

Tips & Best Practices

  • Ensure input values are accurate due to the extremely small atomic length scale.
  • Use this conversion primarily for theoretical or conceptual comparisons between atomic and planetary scales.
  • Be mindful of the very small numerical results which may require high precision tools to handle.
  • Leverage examples as references to verify conversion accuracy.
  • Utilize the tool to enhance interdisciplinary understanding connecting atomic physics with geosciences.

Limitations

  • Numerical results are often very small due to the large difference in scale between atomic units and Earth's radius.
  • The conversion is mostly theoretical and is rarely applied in direct practical measurement scenarios.
  • High precision in calculations is necessary to maintain accuracy given the tiny magnitude involved.

Frequently Asked Questions

What is the atomic unit of length used in this converter?
The atomic unit of length is the Bohr radius (a0), representing the average electron–proton separation in hydrogen's ground state.

How is Earth's equatorial radius defined here?
It is defined as the distance from Earth’s center to the equator along the equatorial plane, with a standard value of 6,378.137 kilometers.

Why is this conversion useful?
It provides a conceptual link between atomic scale distances and planetary dimensions, facilitating interdisciplinary studies.

Key Terminology

Atomic Unit of Length (a.u.)
The Bohr radius, a fundamental length scale in atomic physics representing electron–proton spacing in hydrogen.
Earth's Equatorial Radius
The geodetic distance from Earth’s center to the equator, measured along the equatorial plane.
Quantum Chemistry
A branch of chemistry focused on the application of quantum mechanics to chemical systems, often using atomic units.

Quick Knowledge Check

What does 1 a.u. of length [a.u., b] represent?
What is the approximate conversion factor to Earth's equatorial radius?
For which purpose might this conversion be applied?