Surface Figure

Surface figure is the large-scale geometric accuracy of a manufactured surface relative to its intended ideal shape, such as a plane, sphere, or asphere. Engineers determine it by mapping deviations in form, often with optical interferometry, coordinate measurements, or comparison against a reference surface; unlike roughness, surface figure describes longer-wavelength errors across the component. Controlling figure is essential in precision optics, mirrors, lenses, semiconductor wafers, and other engineered parts because form errors can distort optical wavefronts, impair contact or sealing, and reduce dimensional accuracy.

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JoVE Core - Chemistry

Uncertainty in Measurement: Significant Figures

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2020

All the digits in a measurement, including the uncertain last digit, are called significant figures or significant digits. Note that zero may be a measured value; for example, if a scale that shows weight to the nearest pound reads “140,” then the 1 (hundreds), 4 (tens), and 0 (ones) are all significant (measured) values. A measurement result is properly reported when its significant digits accurately represent the certainty of the measurement process. Below are a set of rules to determine the...

Rules for Significant Figures

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2023

In any measurement, the precision of the measuring tool is an essential factor. An ordinary ruler, for example, can measure length to the closest millimeter; a caliper, on the other hand, can measure length to the nearest 0.01 mm. As a result, the caliper is a more precise measurement tool because it can measure extremely minute changes in length. The measurements will be more accurate if the measuring tool is more precise. It should be emphasized that when we represent measured values, the...

Rules of Significant Figures

0 Views •

2023

In any measurement, the precision of the measuring tool is an essential factor. An ordinary ruler, for example, can measure length to the closest millimeter; a caliper, on the other hand, can measure length to the nearest 0.01 mm. As a result, the caliper is a more precise measurement tool because it can measure extremely minute changes in length. The measurements will be more accurate if the measuring tool is more precise. It should be emphasized that when we represent measured values, the...

Significant Figures in Calculations

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2023

Uncertainty in measurements can be avoided by reporting the results of a calculation with the correct number of significant figures. This can be determined by the following rules for rounding numbers: When adding or subtracting numbers, round the result to the same number of decimal places as the number with the least number of decimal places. When multiplying or dividing numbers, round the result to the same number of digits as the number with the least number of significant figures. If...

Surface Tension and Surface Energy

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2023

When a paint brush is immersed in water, the bristles wave freely inside the water. When it is taken out, the bristles stick together. The reason behind this effect is surface tension. Consider a beaker filled with liquid. The bulk molecules in the liquid experience equal attractive forces on all sides with the surrounding molecules. However, the surface molecules experience a net attractive force downward due to the bulk molecules. The surface of the liquid behaves like a stretched membrane,...

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