How did the Soviet Union support the development of their atomic bomb in 1949?

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Op's comparison of value is a red herring. Cost of living was dramatically lower in the Soviet Union than in the U.S., even at the time, so raw exchange rate creates a completely meaningless value comparison. Only for international purchases outside the Soviet Block would it have any meaning.

It's important to realize that the Hiroshima and Nagasaki bombs, though both "atomic" (a terrible descriptive, as all of chemistry is atomic energy and we're really talking nuclear energy in regards to fission and fusion bombs), were very different beasts. One was a dead-simple uranium bomb requiring no testing at all; while the second was vastly more complex, and when finally tested as Trinity not all the designers were confident of success.

So what is the key significance of the differences? Fuel supply. The Little Boy uranium bomb required enriched uranium as fuel, which prior to key engineering developments in late September 1945, could only be produced, even with the vast resources of Manhattan, at a rate of about 1 bomb every 6 months. The scientific and engineering requirements for Little Boy were solved quite early at Los Alamos; and then the team simply waited for sufficient fuel to be available.

However every uranium-fueled atomic pile rapidly produces sufficient plutonium fuel for a Fat Man bomb every 7 to 10 days. However the Fat Man bomb design was soon realized to be far more complex than for Little Boy. This is where the bulk of the Los Alamos effort was spent from 1943 to August 1945.

Brief aside: The question is often asked: Why drop the Nagasaki bomb? Wasn't Hiroshima sufficient? The presumed answer is no, due to the Japanese refusal to answer or acknowledge the surrender demand following Hiroshima. There was no secret about the difficulties and time requirements for enriching uranium - it's the first concern encountered by every scientist, in every national bomb project, and why Iran still hasn't got a bomb. (Their centrifuges used for enrichment keep blowing up for mysterious reasons.) Nagasaki sent a very clear message to every physicist and informed politician around the Globe: "We SOLVED the uranium enrichment problem. Take that!" And that is why Hirohito forced the War Cabinet to surrender.

Now look at the initial test history of the Soviet Union:

  1. RD-1 - 29 August 1949: claimed 22 ktons (same as Nagasaki) but believed to be under 20 ktons (more like Hiroshima).

  2. RD-2 - 24 September 1951: 38 ktons - even greater than Nagasaki.

This initial speculation on my part was incorrect. Classified documents released in the 1990's confirm that The RD-1 nuclear test in 1949 was an implosion-type plutonium bomb very similar to Fat Man. However the Soviet development continued for many years after WW@ to be constrained by access to uranium, as noted in the update below. Their uranium access was so constrained that even plutonium bomb development and test were limited by it.

The obvious conclusion is that the Soviets completed a simpler Hiroshima-type bomb (despite Beria's insistence and claim that it match Nagasaki) in 1949; and a much more complex Nagasaki type plutonium bomb only 25 months later. A definitive determination would likely be possible by inspection of fallout from the two bombs, but I haven't found yet that analysis online.

Remember the main obstacle to a Hiroshima-type bomb is just the time required to enrich sufficient uranium. it's not a complex device. Los Alamos didn't even bother with a test, their confidence was so great.

Finally, I have doubts that any intelligence received from Fuchs (or others) had a significant effect on the Soviet timeline. It's like being given the answers to a test - but betting your life on your understanding. What a coup it might have been for the entire Soviet team to blow itself up in an "accident" due to planted incorrect intelligence! All such received intelligence really does is give you an answer crib to check your own calculations against. That's useful, but not critical.


Update:

Here is a very good summary of the early Soviet bomb development. My supposition above about RD-1 is apparently incorrect; it was a plutonium bomb of design comparable to Nagasaki. Rather, speed of Soviet bomb development seems to have been constrained by uranium supply.

Some excerpts, [with my comments in trailing brackets]:

Alexei Kojevnikov has estimated, based on newly released Soviet documents, that the primary way in which the espionage may have sped up the Soviet project was that it allowed Khariton to avoid dangerous tests to determine the size of the critical mass: "tickling the dragon's tail," as it was called in the U.S., consumed a good deal of time and claimed at least two lives; see Harry K. Daghlian, Jr. and Louis Slotin.

One of the key pieces of information, which Soviet intelligence obtained from Fuchs, was a cross-section for D-T fusion. [D-T stands for Deuterium-Tritium, so this is only relevant to fusion, ie hydrogen, bombs.]

The single largest problem during the early Soviet project was the procurement of uranium ore, as the USSR had no known domestic sources at the beginning of the project. The Soviet F-1 reactor, which began operation in December 1946, was fueled using uranium confiscated from the remains of the German atomic bomb project. [The speed of Soviet bomb development seems to have been tightly constrained until discovery of the Kazakhstan uranium deposits in about 1947.]
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In regards Soviet uranium supply prior to ~1970:

The American administration knew that uranium wasn’t mined in the Soviet Union. That was the main factor in their hope, which was dominant after 1943, of an atomic monopoly.

On 8th December 1944, Stalin signed GKO Decision no.7102ss (‘ss’ meant ‘completely secret’). In accordance with this decision, all the programmes for mining and processing uranium were transferred from the commissariat for non- ferrous metals to the commissariat for internal affairs (NKVD) and put under L.P. Beria’s control.

A transformation in the production of uranium was achieved. By the end of 1945, Combine No.6 had processed about 10,000 tonnes of uranium ore to produce seven tonnes of uranium concentrate. In 1946, 35,000 tonnes of uranium ore were processed. By the end of 1947, Combine No.6 consisted of seven uranium enrichment plants receiving ore from eighteen mines. 176,000 tonnes of uranium ore were processed, producing 66 tonnes of uranium concentrate. This guaranteed the production of almost 25 tonnes of uranium metal. In 1948, the production of uranium concentrate doubled. But this still did not satisfy the demands of the industrial reactor which had been built not far from the Urals town of Kyshtym. The greater part of the uranium which was loaded into this reactor in the spring and summer of 1948 consisted of uranium trophies found in Germany in June 1945, and from the established uranium mines in Czechoslovakia and Germany. Only in 1950, when the Leninabadsky combine was processing more than 600,000 tonnes of uranium ore every year, was the decisive significance of imports reduced. At this time, 18,000 people worked at Combine No.6, of whom 7,210 were prisoners.

Note that naturally occurring uranium is only about 0.72% U-235, the fuel from which uranium bombs are made. So not only must the uranium ore be smelted and refined to pure uranium; but it must then subsequently be enriched to between 3.5% and 4.5% for (most) reactor use; or to roughly 85% for weapons use. To produce the 64 kg of enriched uranium used by the Little Boy bomb then required 64 kg * 80/0.72 = 7.1 tonnes of refined uranium metal; 17.8 tonnes of 40% uranium concentrate; and about 35,500 tonnes of uranium ore of the quality available from the Tadjikistan-Uzbekistan-Kirghiz mines. All hauled by mule, 70-100 kg at a time, over the area's rough mountainous terrain.

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Soviet system, frugality and spying

When we talk about real cost of Soviet atomic program, and military programs in general, we must first remember that money in Soviet economy was more of facade than real medium for exchange of goods. Soviet citizens had very low standard of living, especially during WW2 and immediately after it. Problem was not lack of money. No matter how much money you would have, you could not just buy essential items like food or even clothing, unless you had some kind of permit, coupons etc ... Alternatively, you could try black market at your own personal risk and at inflated prices. Consequently, it is hard to calculate how much hard currency (USD for example) Soviet Union spent on its atomic program, because Soviet rubles were not directly transferable to them. It is often said that during Stalin's years USSR spent more than 50% of its GDP on military-industrial complex. This is hard to prove or disprove, but it is usually taken as good ballpark estimate.

Now considering the Soviet atomic program, there are sources (in Russian) that give lot of technical and historical information like this or this, but without the cost. Still, some things could be deduced . History of Soviet atomic program before the first bomb could be roughly divided into two periods : preparation (September 1942 - August 1945) and finalization (August 1945 - August 1949) .

Even before that time Soviet scientist knew theory behind fission, especially concerning uranium isotopes . Several letters were sent to Stalin about possibility of atomic bomb. In September of 1941 Soviet spies in Britain did send information about UK uranium committee. Further information came in spring of 1942. Finally in September of 1942 Stalin decided it is necessary to work on this new kind of weapon. He signed decree of Commander in Chief No. 2372 "On the organization of work on uranium" and later in February of 1943 additional decree about atomic bomb program. Laboratories were created and scientific staff went to work, but in this phase this was mostly theoretical and experimental in small scale. Considering that in those war years Soviet scientist worked basically for free (they were content to have enough food for themselves and their families, plus warm place to sleep away from front line), it could be assumed that all of this didn't cost USSR too much . True, those same scientist could be employed to work on some other problems, but that is about it.

NKVD helped Soviet efforts a lot. In period of 1941-45 they obtained around 10 000 pages of documentation from USA and UK . According to Pavel Sudoplatov, this cut development time for Soviet atomic bomb in half. Throughout war years Soviet scientist worked on various problems like creating uranium-graphite reactor, reactor fueled by heavy water and on the bomb itself. Nevertheless, this work was mostly theoretical and laboratory - Soviets didn't have reactors themselves.

At the end of the war, Soviets managed to capture at that time significant quantities of uranium and uranium oxide from Germany (100 tonnes of uranium oxide at one place plus additional 12 tonnes of uranium at another). This was significant because before that they had uranium only in kilograms, and required tens of tonnes for a reactor. This further accelerated development of the bomb for at least a year. They also managed to recruit some German scientists (voluntarily or not) to help them with the project.

Overall, this first phase was not very expensive, and Soviets did have couple of lucky breaks. But in august of 1945 Americans used atomic weapons operationally against Japan. Having atomic weapons now moved from theoretical and experimental physics to grim political reality. Therefore, on 20th August of 1945 Special Committee with extraordinary powers was created (headed by Lavrentiy Beria) . This committee got "unlimited" financing and NKVD supplied workforce for all kinds of manpower needs. First experimental reactor was crated in December of 1946, it required around 45 tones of uranium. Second reactor, needed for plutonium production, required 150 tones. Do to low uranium production in USSR this could not be obtained until mid 1948, and then they had serious accident in late 1948 where thousands of people were irradiated, including head of the project Igor Kurchatov (it is believed that this caused his untimely death in 1960) . In any case, Soviets gathered enough plutonium for their first atomic device (RDS-1) in August 1949.

Since we are concerned with the cost, this second phase is more interesting to us. Phrases like "unlimited funds", 700 000 laborers for the project, creation of whole closed town (Sarov) for the purpose of nuclear research etc ... certainly sound impressive . However, behind all of this is in fact "usual Soviet way of doing business" . Soviet economy heavily relied on forced labor, which was relatively ineffective but abundant. This goes especially for capital projects like canals, railroad and heavy industry. Calculating cost would be difficult because we cannot determine market price of work in socialist system. But what we do know for sure is that Soviet Union already had manpower (and other resources) available for capital projects. These projects would not produce consumer goods, in fact they were in most cases tied to Soviet military-industrial complex. Therefore, if not used for creating nuclear reactors and nuclear research facilities, they would be employed in building (for example) more tanks, not increasing agricultural production.

Final conclusion would be that nuclear weapons simply took part of already enormous (comparatively to the size of economy) military budget of USSR. They were simply another item that replaced some other obsolete weapon systems (like for example plans for building battleships and heavy cruisers) , but did not affect already overburdened Soviet economy . In fact, in the time of Khrushchev , due to gradual onset of MAD, they did help Soviet Union to somewhat reduce conventional forces and therefore increase living standard of its citizens. Therefore, overall effect would be economical benefit.

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