Atomic Bombs and Nuclear Chain Reactions: Are We Doomed?

“I am become death, the destroyer of worlds.” The fear of the atomic bomb was felt not only by the citizens who feared enduring its wrath but also by the inventor himself, Robert J. Oppenheimer. With its debut in his 1965 interview, the quote reflects not only the fear of the wrong force holding the atomic bomb but also of the idea that the atomic bomb could set off a sudden atmospheric chain reaction, causing the earth itself to incinerate. This fear is also portrayed in the recent film “Oppenheimer,” which is based on the life story of Robert J. Oppenheimer before, during, and after the Manhattan Project. In the movie, there is an especially memorable scene in which the portrayal of theoretical physicist Edward Teller claims that there is a 3 in one million chance that the world could be incinerated via the ignition of the nitrogen in the atmosphere and oceans. After this tense moment and the initial hesitation of continuing with the Trinity test, the probability is never mentioned again. So was Teller right? Do we still face the slight probability of atmospheric incineration? Thankfully, after further calculation, it’s been determined that this method of mass extinction is not a matter of slim probability; it’s an impossibility.

Post Trinity test, a declassified 1946 Manhattan Report dives into detail proving the impossibility of a thermonuclear reaction caused by an atomic bomb of the size they were dealing with. The report analyzes atmospheric nitrogen as the subject of ignition due to the instability of its nuclei, the reactions of which yield much more energy in the form of gamma rays. On the basis that there is an ignition point of the atmosphere (10 MeV temperature), the high reactivity would need to surpass that point such that “…the thermonuclear reaction may be propagated to all parts of the atmosphere” (Konopinski et al, 1946), setting off a chain reaction. Despite the energy release via nitrogen reactions, the earth’s atmosphere is transparent to the radiation emitted by them: it cannot absorb or reemit these radiation frequencies. The energy instead escapes into other systems, causing the temperature to restabilize and fail to propagate further reactions. However, the best models of the time first considered the energy produced via the nitrogen reaction to go towards the establishment of the temperature required for atmospheric ignition. Using these more conservative models for the sake of establishing a broader safety net, the Stephan-Boltzmann law – which claims that the hotter an object is the faster it cools – affirms the impossibility of such atmospheric detonation. The size of the bomb they were dealing with would only have about 1% of the energy it released be absorbed as heat by the atmosphere. The rest would dissipate as light, kinetic energy, or escape into space (Konopinski et al, 1946). This ultimately renders a nuclear chain reaction impossible; exponentially more fission material is needed to reach atmospheric ignition. For the technology at the time, there just simply was not enough bomb to generate the required energy.

All science, however, is subject to change over time. This was the core argument of a contradictory article written almost 30 years after the initial Trinity tests and the publication of the 1946 report. The article reopens the previously debunked fallacy, arguing it’s not very possible that “…those who were instrumental in developing fusion devices (1948 to 1958) ever seriously considered the ultimate potential or the unexpected results of fusion explosions that were a 1,000 times as powerful as the fission device of 1945″ (Dudley, 1975). The current scope of today’s technology is beyond what would have been fathomed 80 years ago, including the ability to alter the rate of radioactive decay and half-lives, rendering the energy yield of fusion devices difficult to predict. This argument, however, is weak and extremely flawed as it is based on the idea of Murphy’s Law – that anything can go amiss – and maintains almost no mathematical basis. This short-sighted view and misconception was concisely rebuked less than a year later in a much more scientifically sound article. As in the 1946 report, the article looks into the unstable “…collision between two nuclei of N14 because N14 is a nucleus of relatively high energy content” (Bethe, 1976). The energy produced in the reaction that Bethe looks into (eq 1 below) surpasses the Coulomb barrier required for the reaction to occur with little difficulty and is the same process looked at by Konopinski et al.

N14 + N14 = Mg24 + He4 + 17.7 MeV eq 1

Unsurprisingly, Bethe comes up with similar results to those of Konopinski et al, finding that the energy produced by the reaction is only a minute fraction go the energy lost via physical processes such as the rapid dispersion of the energy in the form of radiation (which, as stated before, our atmosphere is transparent to), heating of the atomic nuclei, etc. The main principle is that “The air cannot be heated as hot as the weapon” (Bethe, 1976). For the atmosphere to ignite, the atomic bombs of modern scale would have to be of an entirely different design such that they could reach the required temperature for ignition; these temperatures are so high that it’s nearly impossible to create a bomb that possesses such qualities.

The profound fear associated with the atomic bomb, articulated by Robert J. Oppenheimer’s chilling words, has left an indelible mark on history. This fear extended beyond the devastation it could unleash upon humanity to include the apprehension that it might trigger an unthinkable catastrophe—igniting the Earth’s atmosphere. The portrayal of this fear, as depicted in the recent film “Oppenheimer,” highlighted a pivotal moment when theoretical physicist Edward Teller suggested a slim probability of atmospheric incineration. However, this fear was ultimately disproved via rigorous scientific analysis and understanding. Including the contradiction of these calculations in the film would take away the tension from the generally uninformed audience. While technological advancements have been made since the early days of nuclear weapons development, the fundamental principles of physics governing these devices and the behavior of our atmosphere remain unchanged. We live to see another day without nuclear damnation.

Sources:

Bethe, H. A. “Ultimate catastrophe?” Bulletin of the Atomic Scientists, vol. 32, no. 6, 1976, pp. 36–37, https://doi.org/10.1080/00963402.1976.11455623.

Dudley, H. C. “The Ultimate Catastrophe.” Bulletin of the Atomic Scientists, vol. 31, no. 9, 1975, pp. 21–24, https://doi.org/10.1080/00963402.1975.11458293.

Teller, Edward, et al. 1946, Ignition of the Atmosphere With Nuclear Bombs.

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  Timothy Durham was convicted of rape when a test showed his DNA genotype matched the DNA recovered from the crime scene. Eye witnesses testified that Durham was in a different state at the time of the incident, but he wasn’t exonerated from his 3000 year sentence until follow up DNA analysis showed that the preliminary forensic analysis used in the trial was misinterpreted (Thomas et al.). DNA testing serves an invaluable part in our criminal justice system, but it comes with complications and bias that can lead to wrongful convictions and misinformed juries.  

Background:

Forensic genetics aims to identify the origin of a biological sample. It can be traced back to Karl Landsteiner who discovered human ABO blood groups. With blood groups, suspects could be eliminated based on their blood type. For example, if a suspect had type A blood and there was type B blood left at the scene by the perpetrator, the investigators could rule out the suspect. Unfortunately, the reverse didn’t work. If the suspect and perpetrator both had the same blood type, it can’t be concluded that the suspect was guilty. Blood identifiers evolved into 8 distinct categories which improved the ability to eliminate suspects, but could only conclude that (if the system matched) it might be the perpetrator or this person might be related to the perpetrator (Jobling and Gill). The field evolved in the 1980s with the discovery of Minisatellites, lines of repetitive DNA that don’t encode proteins. Minisatellite patterns in DNA create what we know today as the DNA fingerprint, and it has a much higher accuracy rate than previous methods (Augustyn et al.). Around the same time, a breakthrough for victims of sexual assault was discovered. In the case of assault, bodily fluids of both the victim and the assaulter can get mixed. A process called differential lysis was created which could selectively increase the concentration of sperm in a fluid sample thereby allowing for accurate DNA testing (Jobling and Gill). Forensics evolved to use single-locus probe testing after several years because of its ease of interpretation. It looked at specific minisatellites that had high variability between subjects. This was the first DNA-based method to be used in a criminal investigation. Two murder homicides from several years apart were connected using DNA evidence. The evidence was then used to exonerate an innocent man, and the guilty party was found when he tried to evade mandatory DNA testing for all men in the small town. His guilt was then reinforced when the DNA profiles matched, and he gave a confession (Jobling and Gill). Finding DNA at a crime scene doesn’t guarantee that you’ll find a murderer. There are issues with non-pure samples and limited samples that make DNA work difficult, and accreditation of facilities and new techniques and take time (Jobling and Gill).  

Subjectivity of DNA Interpretation:

In a 2009 publication, the National Academy of Science discusses the possibility for subjective influence in lab based forensics. The interpretation bias happens in complex cases where, for example, there could be a mixture of DNA. A study published in 2011 looked specifically at this issue. A gang rape happened in Georgia, and the mixture in DNA from the case was used to prosecute one suspect after another suspect took a plea bargain to testify against him. With DNA mixtures, there are three possible conclusions: suspect excluded, suspect cannot be excluded, and inconclusive. If the suspect is excluded, it means that there’s little to no possibility that his DNA is part of the sample. If the suspect cannot be excluded, it means that there’s a possibility that his DNA is part of the sample. In the trial, the DNA examiners who knew the context of the case concluded that the suspect being prosecuted could not be excluded. The 2011 study gave the DNA evidence from this case and the DNA profiles of the suspects to 17 forensic examiners. These examiners had no context of the case, and they all worked independently. Of the 17, only 1 came to the same conclusion (suspect cannot be excluded) as the examiners who knew the context of the case. Twelve of the 17 concluded that the suspect who was prosecuted and convicted had no relation to the DNA found in the sample. Not only does this show that subjectivity occurs due to the context of the case, but the 17 examiners came up with different findings based on their past experiences meaning that not all DNA analysis is objective. Some organizations like the Scientific Working Group on DNA Analysis Methods say that quantitative statistical evidence should be presented with every categorical conclusion, but the US doesn’t require this (Dror and Hampikian).

False Positives:

There are two categories that cause wrongful identification in a DNA report: coincidental matches and false positives. Coincidental matches are DNA matches between two unrelated people. The probability of these matches is about 1 to 500,000 for white individuals and about 1 to 350,000 for black individuals. This small probability of coincidental matches makes people feel confident in DNA evidence. False positives, on the other hand, are matches between DNA and test DNA that result from issues in the forensics lab. There have been multiple cases of forensics labs accidentally switching victim and suspected rapist DNA which lead to convictions that were later overturned when the lab realized the error. There are also cases of misreading or misunderstanding a sample. In a case from 1993, a man was convicted of rape because someone interpreted a mixed sample of victim and perpetrator DNA as an individual sample. The conviction was again overturned. To prevent false convictions, retesting DNA is allowed, but it’s not an efficient solution. Many people are pushing for statistical information on the probability of false positives, so that the jurors can make accurate judgements based on DNA evidence (Thomas et al.).  

Conclusion:

DNA analysis is a useful tool for the criminal justice system, but subjectivity can be an issue in forensic testing. To combat wrongful convictions, there are organizations like The Innocence Project who use DNA testing to free the innocent, but reformed forensic testing standards should be put in place to prevent subjectivity and to ensure juries are correctly informed during trials. https://www.innocenceproject.org/    

Citation:

Augustyn , Adam, et al. “DNA Finerprinting.” Encyclopedia Britannica , 26 Apr. 2018, www.britannica.com/science/DNA-fingerprinting#ref153186. Dror, Itiel E., and Greg Hampikian. “Subjectivity and Bias in Forensic DNA Mixture Interpretation.” Science & Justice, vol. 51, no. 4, 2011, pp. 204–208., doi:10.1016/j.scijus.2011.08.004. Jobling, Mark A., and Peter Gill. “Encoded Evidence: DNA in Forensic Analysis.” Nature Reviews: Genetics, vol. 5, no. 10, Oct. 2004, pp. 739–751., doi:10.1038/nrg1455. Thompson, William C, et al. “How the Probability of a False Positive Affects the Value of DNA Evidence.” Journal of Forensic Sciences, vol. 48, no. 1, Jan. 2003, pp. 1–8., doi:10.1520/jfs2001171.