Kalibriergleichungen

Kalibriergleichungen, also known as calibration equations or calibration curves, are mathematical expressions used to relate the measured signal from an analytical instrument to the concentration or quantity of a substance being analyzed. These equations are derived from a series of measurements performed on samples of known concentrations, called standards. By plotting the instrument's response (e.g., absorbance, peak area, voltage) against the known concentrations of these standards, a calibration curve is generated. The Kalibriergleichung is the mathematical function that best fits this data, often a linear regression equation of the form y = mx + b, where y represents the instrument response, x represents the concentration, m is the slope, and b is the y-intercept.

Once established, the Kalibriergleichung can be used to determine the unknown concentration of a substance in a sample by measuring its instrument response and then solving the equation for x. The accuracy and reliability of the results depend heavily on the quality of the calibration standards, the precision of the instrument measurements, and the appropriate choice of the mathematical model to describe the calibration curve. Deviations from linearity can occur at very low or very high concentrations, necessitating the use of more complex models or limiting the usable range of the calibration. Regular recalibration is essential to account for instrument drift or changes in environmental conditions.