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Bohr radius to ell Converter

Enter Bohr radius

b

ell

ell

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⇅ Switch toell to Bohr radius Converter

How to use this Bohr radius to ell Converter 🤔

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

1. Enter the input Bohr radius value in the text field.
2. The calculator converts the given Bohr radius into ell in realtime ⌚ using the conversion formula, and displays under the ell label. You do not need to click any button. If the input changes, ell value is re-calculated, just like that.
3. You may copy the resulting ell 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 ell?

The formula to convert given length from Bohr radius to ell is:

Length_(ell) = Length_{(Bohr radius)} / 21599568048.961456

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 ell, i.e., Length_(ell).

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 ell.

Answer:

Given:

The length in bohr radius is:

Length_{(Bohr radius)} = 2

Formula:

The formula to convert length from bohr radius to ell is:

Length_(ell) = Length_{(Bohr radius)} / 21599568048.961456

Substitution:

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

Length_(ell) = 2 / 21599568048.961456

Length_(ell) = 9.25944e-11

Final Answer:

Therefore, 2 b is equal to 9.25944e-11 ell.

The length is 9.25944e-11 ell, in ell.

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 ell.

Answer:

Given:

The length in bohr radius is:

Length_{(Bohr radius)} = 3.5

Formula:

The formula to convert length from bohr radius to ell is:

Length_(ell) = Length_{(Bohr radius)} / 21599568048.961456

Substitution:

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

Length_(ell) = 3.5 / 21599568048.961456

Length_(ell) = 1.620403e-10

Final Answer:

Therefore, 3.5 b is equal to 1.620403e-10 ell.

The length is 1.620403e-10 ell, in ell.

Bohr radius to ell Conversion Table

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

Bohr radius (b)	ell (ell)
0 b	0 ell
1 b	5e-11 ell
2 b	9e-11 ell
3 b	1.4e-10 ell
4 b	1.9e-10 ell
5 b	2.3e-10 ell
6 b	2.8e-10 ell
7 b	3.2e-10 ell
8 b	3.7e-10 ell
9 b	4.2e-10 ell
10 b	4.6e-10 ell
20 b	9.3e-10 ell
50 b	2.31e-9 ell
100 b	4.63e-9 ell
1000 b	4.63e-8 ell
10000 b	4.6297e-7 ell
100000 b	0.00000462972 ell

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.

ell

An ell is a unit of length used historically in textiles and other measurements. One ell is equivalent to approximately 45 inches or 1.143 meters.

The ell was originally based on the length of a person's arm or the length of a specific type of cloth, and its definition varied between regions and periods. The unit was commonly used in the textile industry for measuring fabric lengths.

Ells are less commonly used today but remain of historical interest in the study of historical measurements and practices, particularly in textiles and historical trade.

Frequently Asked Questions (FAQs)

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

2. Is this tool free or paid?

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

{
  "conversion": "bohr_radius-ell",
  "x_slug": "bohr_radius",
  "y_slug": "ell",
  "x": "b",
  "y": "ell",
  "x_desc": "Bohr radius",
  "y_desc": "ell",
  "category": "Length",
  "symbol": "m",
  "formula": "x / 21599568048.961456",
  "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 ell.</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 ell is:</p>\n        <p class=\"formula step\"><span>Length<sub>(ell)</sub></span> = <span>Length<sub>(Bohr radius)</sub></span> / 21599568048.961456</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>(ell)</sub></span> = <span>2</span> / 21599568048.961456</p>\n        <p class=\"step\"><span>Length<sub>(ell)</sub></span> = 9.25944e-11</p>\n        <p><strong>Final Answer:</strong></p>\n        <p>Therefore, <strong>2 b</strong> is equal to <strong>9.25944e-11 ell</strong>.</p>\n        <p>The length  is <strong>9.25944e-11 ell</strong>, in ell.</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 ell.</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 ell is:</p>\n        <p class=\"formula step\"><span>Length<sub>(ell)</sub></span> = <span>Length<sub>(Bohr radius)</sub></span> / 21599568048.961456</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>(ell)</sub></span> = <span>3.5</span> / 21599568048.961456</p>\n        <p class=\"step\"><span>Length<sub>(ell)</sub></span> = 1.620403e-10</p>\n        <p><strong>Final Answer:</strong></p>\n        <p>Therefore, <strong>3.5 b</strong> is equal to <strong>1.620403e-10 ell</strong>.</p>\n        <p>The length  is <strong>1.620403e-10 ell</strong>, in ell.</p>\n        </div>\n      ",
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  "img": "<img class=\"conversion\" src=\"/images/unit/length/bohr_radius-ell.webp\" height=\"360\" width=\"640\" alt=\"Bohr radius to ell Converter | b to ell\" />",
  "table1n": "<h2><span class=\"x\">Bohr radius</span> to <span class=\"y\">ell</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Bohr radius to ell.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Bohr radius (<span class=\"unit\">b</span>)</th><th scope=\"column\" role=\"columnheader\">ell (<span class=\"unit\">ell</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">ell</span></td></tr><tr><td>1 <span class=\"unit\">b</span></td><td>5e-11 <span class=\"unit\">ell</span></td></tr><tr><td>2 <span class=\"unit\">b</span></td><td>9e-11 <span class=\"unit\">ell</span></td></tr><tr><td>3 <span class=\"unit\">b</span></td><td>1<span>.4e-10</span> <span class=\"unit\">ell</span></td></tr><tr><td>4 <span class=\"unit\">b</span></td><td>1<span>.9e-10</span> <span class=\"unit\">ell</span></td></tr><tr><td>5 <span class=\"unit\">b</span></td><td>2<span>.3e-10</span> <span class=\"unit\">ell</span></td></tr><tr><td>6 <span class=\"unit\">b</span></td><td>2<span>.8e-10</span> <span class=\"unit\">ell</span></td></tr><tr><td>7 <span class=\"unit\">b</span></td><td>3<span>.2e-10</span> <span class=\"unit\">ell</span></td></tr><tr><td>8 <span class=\"unit\">b</span></td><td>3<span>.7e-10</span> <span class=\"unit\">ell</span></td></tr><tr><td>9 <span class=\"unit\">b</span></td><td>4<span>.2e-10</span> <span class=\"unit\">ell</span></td></tr><tr><td>10 <span class=\"unit\">b</span></td><td>4<span>.6e-10</span> <span class=\"unit\">ell</span></td></tr><tr><td>20 <span class=\"unit\">b</span></td><td>9<span>.3e-10</span> <span class=\"unit\">ell</span></td></tr><tr><td>50 <span class=\"unit\">b</span></td><td>2<span>.31e-9</span> <span class=\"unit\">ell</span></td></tr><tr><td>100 <span class=\"unit\">b</span></td><td>4<span>.63e-9</span> <span class=\"unit\">ell</span></td></tr><tr><td>1000 <span class=\"unit\">b</span></td><td>4<span>.63e-8</span> <span class=\"unit\">ell</span></td></tr><tr><td>10000 <span class=\"unit\">b</span></td><td>4<span>.6297e-7</span> <span class=\"unit\">ell</span></td></tr><tr><td>100000 <span class=\"unit\">b</span></td><td>0<span>.00000462972</span> <span class=\"unit\">ell</span></td></tr></table>",
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  "y_long_desc": "An ell is a unit of length used historically in textiles and other measurements. One ell is equivalent to approximately 45 inches or 1.143 meters. </p><p>The ell was originally based on the length of a person's arm or the length of a specific type of cloth, and its definition varied between regions and periods. The unit was commonly used in the textile industry for measuring fabric lengths.</p><p>Ells are less commonly used today but remain of historical interest in the study of historical measurements and practices, particularly in textiles and historical trade.",
  "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."
}