Alright, I need to create a production-ready HTML calculator for the FWHM (Full Width at Half Maximum) of a Gaussian distribution. The user provided detailed requirements, so I’ll start by understanding each part.
First, the calculator must be a single HTML file with embedded CSS and JavaScript. I’ll structure the HTML with a header, main content, and sections for the calculator and article. The design should be professional, using the specified colors and a single-column layout for both mobile and desktop.
Next, the calculator inputs. I’ll need two fields: one for the peak amplitude and another for the standard deviation. Each input should be wrapped in an .input-group with labels and helper text. I’ll include error messages below each input for validation issues and a Reset button to restore defaults.
For the results, I’ll display the primary FWHM value prominently with a background color. Intermediate values like amplitude, standard deviation, and the Gaussian function will be shown below. The results should update in real-time as inputs change, so I’ll use JavaScript event listeners on the input fields.
The article section needs to be comprehensive, covering what FWHM is, its formula, practical examples, how to use the calculator, key factors, FAQs, and related tools. I’ll ensure the content is SEO-optimized with the primary keyword “FWHM Calculator” appearing with sufficient density and internal links to related resources.
I’ll include a table explaining the variables and a dynamic chart using SVG to visualize the Gaussian curve. The chart will update when inputs change, so I’ll write JavaScript functions to redraw it based on the current values.
Validation is crucial. I’ll check that inputs are valid numbers and handle edge cases like negative values or zeros where necessary. The JavaScript will ensure that calculations only proceed with valid inputs to avoid NaN errors.
Finally, I’ll structure the HTML with proper semantic tags, ensure responsiveness with CSS, and test the functionality to make sure everything works smoothly across different devices and browsers. The final output will be a single HTML file that meets all the specified requirements.
FWHM Calculator – Full Width at Half Maximum Calculator
Calculate the Full Width at Half Maximum (FWHM) of a Gaussian distribution. Understand the formula, examples, and applications.
FWHM Calculator
FWHM Result
Intermediate Values
FWHM Formula and Explanation
The Full Width at Half Maximum (FWHM) is calculated using the formula:
FWHM = 2 * sqrt(2 * ln(2)) * σ
Where:
| Variable | Meaning | Unit |
|---|---|---|
| FWHM | Full Width at Half Maximum | Same as input units |
| σ | Standard Deviation | Same as input units |
Gaussian Distribution Chart