Bohr radius to ell Converter
β
Switch toell to Bohr radius ConverterHow to use this Bohr radius to ell Converter π€
Follow these steps to convert given length from the units of Bohr radius to the units of ell.
- Enter the input Bohr radius value in the text field.
- The calculator converts the given Bohr radius into ell in realtime β 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.
- You may copy the resulting ell value using the Copy button.
- To view a detailed step by step calculation of the conversion, click on the View Calculation button.
- You can also reset the input by clicking on Reset button present below the input field.
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 Γ 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?
The formula to convert Bohr radius to ell in Length is:
Bohr radius / 21599568048.961456
2. Is this tool free or paid?
This Length conversion tool, which converts Bohr radius to ell, is completely free to use.
3. How do I convert Length from Bohr radius to ell?
To convert Length from Bohr radius to ell, you can use the following formula:
Bohr radius / 21599568048.961456
For example, if you have a value in Bohr radius, you substitute that value in place of Bohr radius in the above formula, and solve the mathematical expression to get the equivalent value in 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 Γ 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."
}