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1 Sv = 1 Gy × RBE = 100 rem. size 12{1`"Sv"=1`"Gy" times "RBE"="100"`"rem."} {}

The RBEs given in [link] are approximate, but they yield certain insights. For example, the eyes are more sensitive to radiation, because the cells of the lens do not repair themselves. Neutrons cause more damage than γ size 12{γ} {} rays, although both are neutral and have large ranges, because neutrons often cause secondary radiation when they are captured. Note that the RBEs are 1 for higher-energy β size 12{β} {} s, γ size 12{γ} {} s, and x-rays, three of the most common types of radiation. For those types of radiation, the numerical values of the dose in rem and rad are identical. For example, 1 rad of γ size 12{γ} {} radiation is also 1 rem. For that reason, rads are still widely quoted rather than rem. [link] summarizes the units that are used for radiation.

Misconception alert: activity vs. dose

“Activity” refers to the radioactive source while “dose” refers to the amount of energy from the radiation that is deposited in a person or object.

A high level of activity doesn’t mean much if a person is far away from the source. The activity R size 12{R} {} of a source depends upon the quantity of material (kg) as well as the half-life. A short half-life will produce many more disintegrations per second. Recall that R = 0.693 N t 1 / 2 size 12{R= { {0 "." "693"N} over {t rSub { size 8{1/2} } } } } {} . Also, the activity decreases exponentially, which is seen in the equation R = R 0 e λt size 12{R=R rSub { size 8{0} } e rSup { size 8{ - λt} } } {} .

Relative biological effectiveness
Type and energy of radiation RBE Values approximate, difficult to determine.
X-rays 1
γ size 12{γ} {} rays 1
β size 12{β} {} rays greater than 32 keV 1
β size 12{β} {} rays less than 32 keV 1.7
Neutrons, thermal to slow (<20 keV) 2–5
Neutrons, fast (1–10 MeV) 10 (body), 32 (eyes)
Protons (1–10 MeV) 10 (body), 32 (eyes)
α size 12{α} {} rays from radioactive decay 10–20
Heavy ions from accelerators 10–20
Units for radiation
Quantity SI unit name Definition Former unit Conversion
Activity Becquerel (bq) decay/sec Curie (Ci) 1 Bq = 2 . 7 × 10 11 Ci size 12{2 "." 7 times "10" rSup { size 8{ - "11"} } } {}
Absorbed dose Gray (Gy) 1 J/kg rad Gy = 100 rad
Dose Equivalent Sievert (Sv) 1 J/kg × RBE rem Sv = 100 rem

The large-scale effects of radiation on humans can be divided into two categories: immediate effects and long-term effects. [link] gives the immediate effects of whole-body exposures received in less than one day. If the radiation exposure is spread out over more time, greater doses are needed to cause the effects listed. This is due to the body’s ability to partially repair the damage. Any dose less than 100 mSv (10 rem) is called a low dose    , 0.1 Sv to 1 Sv (10 to 100 rem) is called a moderate dose    , and anything greater than 1 Sv (100 rem) is called a high dose    . There is no known way to determine after the fact if a person has been exposed to less than 10 mSv.

Immediate effects of radiation (adults, whole body, single exposure)
Dose in Sv Multiply by 100 to obtain dose in rem. Effect
0–0.10 No observable effect.
0.1 – 1 Slight to moderate decrease in white blood cell counts.
0.5 Temporary sterility; 0.35 for women, 0.50 for men.
1 – 2 Significant reduction in blood cell counts, brief nausea and vomiting. Rarely fatal.
2 – 5 Nausea, vomiting, hair loss, severe blood damage, hemorrhage, fatalities.
4.5 LD50/32. Lethal to 50% of the population within 32 days after exposure if not treated.
5 – 20 Worst effects due to malfunction of small intestine and blood systems. Limited survival.
>20 Fatal within hours due to collapse of central nervous system.

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Source:  OpenStax, College physics. OpenStax CNX. Jul 27, 2015 Download for free at http://legacy.cnx.org/content/col11406/1.9
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