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Bohr radius to Astronomical Units Converter

Enter Bohr radius

b

Astronomical Units

AU

ResetView CalculationCopy

⇅ Switch toAstronomical Units to Bohr radius Converter

How to use this Bohr radius to Astronomical Units Converter 🤔

Follow these steps to convert given length from the units of Bohr radius to the units of Astronomical Units.

1. Enter the input Bohr radius value in the text field.
2. The calculator converts the given Bohr radius into Astronomical Units in realtime ⌚ using the conversion formula, and displays under the Astronomical Units label. You do not need to click any button. If the input changes, Astronomical Units value is re-calculated, just like that.
3. You may copy the resulting Astronomical Units value using the Copy button.
4. To view a detailed step by step calculation of the conversion, click on the View Calculation button.
5. You can also reset the input by clicking on Reset button present below the input field.

What is the Formula to convert Bohr radius to Astronomical Units?

The formula to convert given length from Bohr radius to Astronomical Units is:

Length_{(Astronomical Units)} = Length_{(Bohr radius)} / 2.8269898411236535e+21

Substitute the given value of length in bohr radius, i.e., Length_{(Bohr radius)} in the above formula and simplify the right-hand side value. The resulting value is the length in astronomical units, i.e., Length_{(Astronomical Units)}.

Calculation

Calculation will be done after you enter a valid input.

Examples

1

Consider that an electron in a hydrogen atom is found at 2 Bohr radii from the nucleus.
Convert this distance from Bohr radii to Astronomical Units.

Answer:

Given:

The length in bohr radius is:

Length_{(Bohr radius)} = 2

Formula:

The formula to convert length from bohr radius to astronomical units is:

Length_{(Astronomical Units)} = Length_{(Bohr radius)} / 2.8269898411236535e+21

Substitution:

Substitute given weight Length_{(Bohr radius)} = 2 in the above formula.

Length_{(Astronomical Units)} = 2 / 2.8269898411236535e+21

Length_{(Astronomical Units)} = 0

Final Answer:

Therefore, 2 b is equal to 0 AU.

The length is 0 AU, in astronomical units.

2

Consider that a quantum state calculation places an electron 3.5 Bohr radii away from the nucleus.
Convert this distance from Bohr radii to Astronomical Units.

Answer:

Given:

The length in bohr radius is:

Length_{(Bohr radius)} = 3.5

Formula:

The formula to convert length from bohr radius to astronomical units is:

Length_{(Astronomical Units)} = Length_{(Bohr radius)} / 2.8269898411236535e+21

Substitution:

Substitute given weight Length_{(Bohr radius)} = 3.5 in the above formula.

Length_{(Astronomical Units)} = 3.5 / 2.8269898411236535e+21

Length_{(Astronomical Units)} = 0

Final Answer:

Therefore, 3.5 b is equal to 0 AU.

The length is 0 AU, in astronomical units.

Bohr radius to Astronomical Units Conversion Table

The following table gives some of the most used conversions from Bohr radius to Astronomical Units.

Bohr radius (b)	Astronomical Units (AU)
0 b	0 AU
1 b	0 AU
2 b	0 AU
3 b	0 AU
4 b	0 AU
5 b	0 AU
6 b	0 AU
7 b	0 AU
8 b	0 AU
9 b	0 AU
10 b	0 AU
20 b	0 AU
50 b	0 AU
100 b	0 AU
1000 b	0 AU
10000 b	0 AU
100000 b	0 AU

Bohr radius

The Bohr radius is a fundamental unit of length used in atomic physics to describe the size of the ground state orbit of an electron around a proton in a hydrogen atom. One Bohr radius is approximately 5.29177 × 10^(-11) meters or about 0.529 angstroms.

The Bohr radius is derived from the Bohr model of the atom, which describes the electron's orbit as quantized and stable. It provides a characteristic length scale for the electron's position in its lowest energy state, known as the ground state.

The Bohr radius is used in atomic and quantum physics to understand the size of atoms, atomic orbitals, and the fundamental structure of matter. It is a key parameter in the Bohr model and provides insight into the scale of atomic interactions and energy levels.

Astronomical Units

An astronomical unit (AU) is a unit of length used in astronomy to measure distances within our solar system. One astronomical unit is equivalent to approximately 149,597,870.7 kilometers or about 92,955,807.3 miles.

The astronomical unit is defined as the mean distance between the Earth and the Sun.

Astronomical units are used to express distances between celestial bodies within the solar system, such as the distances between planets and their orbits. They provide a convenient scale for describing and comparing distances in a way that is more manageable than using kilometers or miles.

Frequently Asked Questions (FAQs)

1. What is the formula for converting Bohr radius to Astronomical Units in Length?

2. Is this tool free or paid?

3. How do I convert Length from Bohr radius to Astronomical Units?

{
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  "x_slug": "bohr_radius",
  "y_slug": "astronomical_unit",
  "x": "b",
  "y": "AU",
  "x_desc": "Bohr radius",
  "y_desc": "Astronomical Units",
  "category": "Length",
  "symbol": "m",
  "formula": "x / 2.8269898411236535e+21",
  "precision": 16,
  "examples": "<div class=\"example\">\n        <div class=\"example_head\"><span class=\"example_n\">1</span>\n        <h3 class=\"question\">Consider that an electron in a hydrogen atom is found at 2 Bohr radii from the nucleus.<br>Convert this distance from Bohr radii to Astronomical Units.</h3></div>\n        <h4 class=\"answer\">Answer:</h4>\n        <p><strong>Given:</strong></p>\n        <p>The length  in bohr radius is:</p>\n        <p class=\"step\"><span>Length<sub>(Bohr radius)</sub></span>  = 2</p>\n        <p><strong>Formula:</strong></p>\n        <p>The formula to convert length from bohr radius to astronomical units is:</p>\n        <p class=\"formula step\"><span>Length<sub>(Astronomical Units)</sub></span> = <span>Length<sub>(Bohr radius)</sub></span> / 2.8269898411236535e+21</p>\n        <p><strong>Substitution:</strong></p>\n        <p>Substitute given weight  <strong>Length<sub>(Bohr radius)</sub> = 2</strong> in the above formula.</p>\n        <p class=\"step\"><span>Length<sub>(Astronomical Units)</sub></span> = <span>2</span> / 2.8269898411236535e+21</p>\n        <p class=\"step\"><span>Length<sub>(Astronomical Units)</sub></span> = 0</p>\n        <p><strong>Final Answer:</strong></p>\n        <p>Therefore, <strong>2 b</strong> is equal to <strong>0 AU</strong>.</p>\n        <p>The length  is <strong>0 AU</strong>, in astronomical units.</p>\n        </div>\n      <div class=\"example\">\n        <div class=\"example_head\"><span class=\"example_n\">2</span>\n        <h3 class=\"question\">Consider that a quantum state calculation places an electron 3.5 Bohr radii away from the nucleus.<br>Convert this distance from Bohr radii to Astronomical Units.</h3></div>\n        <h4 class=\"answer\">Answer:</h4>\n        <p><strong>Given:</strong></p>\n        <p>The length  in bohr radius is:</p>\n        <p class=\"step\"><span>Length<sub>(Bohr radius)</sub></span>  = 3.5</p>\n        <p><strong>Formula:</strong></p>\n        <p>The formula to convert length from bohr radius to astronomical units is:</p>\n        <p class=\"formula step\"><span>Length<sub>(Astronomical Units)</sub></span> = <span>Length<sub>(Bohr radius)</sub></span> / 2.8269898411236535e+21</p>\n        <p><strong>Substitution:</strong></p>\n        <p>Substitute given weight  <strong>Length<sub>(Bohr radius)</sub> = 3.5</strong> in the above formula.</p>\n        <p class=\"step\"><span>Length<sub>(Astronomical Units)</sub></span> = <span>3.5</span> / 2.8269898411236535e+21</p>\n        <p class=\"step\"><span>Length<sub>(Astronomical Units)</sub></span> = 0</p>\n        <p><strong>Final Answer:</strong></p>\n        <p>Therefore, <strong>3.5 b</strong> is equal to <strong>0 AU</strong>.</p>\n        <p>The length  is <strong>0 AU</strong>, in astronomical units.</p>\n        </div>\n      ",
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  "img": "<img class=\"conversion\" src=\"/images/unit/length/bohr_radius-astronomical_unit.webp\" height=\"360\" width=\"640\" alt=\"Bohr radius to Astronomical Units Converter | b to AU\" />",
  "table1n": "<h2><span class=\"x\">Bohr radius</span> to <span class=\"y\">Astronomical Units</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Bohr radius to Astronomical Units.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Bohr radius (<span class=\"unit\">b</span>)</th><th scope=\"column\" role=\"columnheader\">Astronomical Units (<span class=\"unit\">AU</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">AU</span></td></tr><tr><td>1 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">AU</span></td></tr><tr><td>2 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">AU</span></td></tr><tr><td>3 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">AU</span></td></tr><tr><td>4 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">AU</span></td></tr><tr><td>5 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">AU</span></td></tr><tr><td>6 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">AU</span></td></tr><tr><td>7 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">AU</span></td></tr><tr><td>8 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">AU</span></td></tr><tr><td>9 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">AU</span></td></tr><tr><td>10 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">AU</span></td></tr><tr><td>20 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">AU</span></td></tr><tr><td>50 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">AU</span></td></tr><tr><td>100 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">AU</span></td></tr><tr><td>1000 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">AU</span></td></tr><tr><td>10000 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">AU</span></td></tr><tr><td>100000 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">AU</span></td></tr></table>",
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  "y_long_desc": "An astronomical unit (AU) is a unit of length used in astronomy to measure distances within our solar system. One astronomical unit is equivalent to approximately 149,597,870.7 kilometers or about 92,955,807.3 miles. </p><p>The astronomical unit is defined as the mean distance between the Earth and the Sun.</p><p>Astronomical units are used to express distances between celestial bodies within the solar system, such as the distances between planets and their orbits. They provide a convenient scale for describing and comparing distances in a way that is more manageable than using kilometers or miles.",
  "x_long_desc": "The Bohr radius is a fundamental unit of length used in atomic physics to describe the size of the ground state orbit of an electron around a proton in a hydrogen atom. One Bohr radius is approximately 5.29177 × 10^(-11) meters or about 0.529 angstroms. </p><p>The Bohr radius is derived from the Bohr model of the atom, which describes the electron's orbit as quantized and stable. It provides a characteristic length scale for the electron's position in its lowest energy state, known as the ground state.</p><p>The Bohr radius is used in atomic and quantum physics to understand the size of atoms, atomic orbitals, and the fundamental structure of matter. It is a key parameter in the Bohr model and provides insight into the scale of atomic interactions and energy levels."
}