The triple point of water is a fundamental thermodynamic condition where water can exist simultaneously as a solid, liquid, and gas. This unique point occurs at a temperature of 273.16 K (0.01°C) and a pressure of 611.657 pascals (approximately 0.00604 atmospheres). The triple point is crucial in the calibration of thermometers and serves as a reference point in the definition of the Kelvin temperature scale.

Among the given options:
– [A] 273.16 °C is incorrect because it denotes a temperature far higher than the triple point.
– [B] 273.16 °F is incorrect as it does not correspond to the triple point of water.
– [C] 273.16 K is correct, representing the precise temperature at the triple point.
– [D] 373.16 K is incorrect as it represents a higher temperature than the triple point.

Therefore, the correct answer is [C] 273.16 K.