Download free maps and mods for Half-Life! Gordon Freeman doesn't speak, but he's got a helluva story to tell. This first-person roller-coaster initiated a new era in the history of action games by combining engrossing gameplay, upgraded graphics, ingenious level design and a revolutionary story that may not be all that it seems, told not through cutscenes, but through the visual environment. More about Half-Life Patch It's available for users with the operating system Windows 95 and prior versions, and it is available in English. Its current version is 1.1.1.0 and was updated on 9/06/2011.

The following tools can generate any one of the values from the other three in the half-life formula for a substance undergoing decay to decrease by half.

Half Life Calculator

Please provide any three of the following to calculate the fourth value.

Half Life, Mean Lifetime, and Decay Constant Conversion

Please provide any one of the following to get the other two.

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Definition and Formula

Half-life is defined as the amount of time it takes a given quantity to decrease to half of its initial value. The term is most commonly used in relation to atoms undergoing radioactive decay, but can be used to describe other types of decay, whether exponential or not. One of the most well-known applications of half-life is carbon-14 dating. The half-life of carbon-14 is approximately 5,730 years, and it can be reliably used to measure dates up to around 50,000 years ago. The process of carbon-14 dating was developed by William Libby, and is based on the fact that carbon-14 is constantly being made in the atmosphere. It is incorporated into plants through photosynthesis, and then into animals when they consume plants. The carbon-14 undergoes radioactive decay once the plant or animal dies, and measuring the amount of carbon-14 in a sample conveys information about when the plant or animal died.

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Below are shown three equivalent formulas describing exponential decay:

N₀

N_t

t_1/2

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If an archaeologist found a fossil sample that contained 25% carbon-14 in comparison to a living sample, the time of the fossil sample's death could be determined by rearranging equation 1, since N_t, N₀, and t_1/2 are known.

This means that the fossil is 11,460 years old. Golf driver shaft length for height.

Derivation of the Relationship Between Half-Life Constants

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Using the above equations, it is also possible for a relationship to be be derived between t_1/2, τ, and λ. This relationship enables the determination of all values, as long as at least one is known.