First of all, correct me if I'm wrong, but sensitivity across formats is not really equivalent, and smaller sensors are inherently more sensitive than larger sensors for a given DoF & shutter speed length.
The sensor's "sensitivity" is not a function of the propertires of the image the lens draws, thus DoF and shutter speed are not relevant.
However, if the aim is to create
the same output image, i.e. having an output image with the same DoF and shutter speed, then a larger format would use a smaller aperture than a smaller format would.
How efficient the sensor is in another topic - some small sensors have very high quantum efficiency, while some big ones also do. Iif the manufacturing geometries were the same and front side illumination were used, then with equal pixel count a bigger sensor would typically have higher quantum efficiency. In practise smaller sensors use finer manufacturing geomateries and backside illumination (BSI, BI) is often also used to compete.
So there is no hard rule.
I.e. if you have the same ISO, aperture diameter & shutter speed in front of two different size sensors, the larger sensor will have a dimmer exposure due to the given volume of light being spread over a larger area.
While I understand what you mean, what you say is written in a way which is bound to cause confusion.
First, let's ditch ISO as it's got no part in this context.
If we have the same aperture diameter, angle of view and shutter speed, the exposures of different sized sensors will be different, but this has nothing to do with being "dimmer".
Exposure is a per are-concept and as bigger sensor has more area, the total amount of light collected will be ideantical.
Brightness is not a useful concept as it's a property of the output image, not the image and what the sensor samples is the image into data. Regardless of the sensor size the same amount of light is collected, thus the output image can have the same brightness with the same "apparent noise". If you consider two sensors with the same number of pixels, but different sizes, then with the "equivalent output image" settings the numeric information would be the same.
There is much more on this concept here in three articles.
With that in mind, FF has 1.2 stops/2.36 times more sensor area than APS-C. So correct me if I'm wrong, but if an APS-C sensor is rated at ISO1000 for some low light S/N metric, a FF sensor with equivalent performance per unit of area will be rated at ISO2360 for the same metric, correct?
ISO is an output image metric (JPG and such), not a metric for image sensors. It's best to ignore them for most part when considering raw-data or sensor performance, unless we're considering how changing the ISO influences the performance curve of the image sensor (typically increasing ISO reduces the influence of ADC/PGA noise up to a point).
Well when you apply that math to the A6000 and A7
A7 sensor design (at least for most part) is quite old, probably older than the sensor in A6000, and the latter is likely made with finer manufacturing geometry (to negate the pixel pitch difference inflluence) thus the relative efficiency of the latter is likely to be better. Thus for "equivalent images" it would perform better.
What's the practical impact of that? If you have a low light scene and two equivalent lenses wide open on the two cameras (i.e. the 24 1.8 & the 35 2.8), the A7 will have half a stop more noise.
Indeed it is not the sensor size itself which is the reason why the big sensor cameras are usually considered to have less noise, but the amount of light which is captured. After all, noise is almost entirely a function of light itself. Thus as f/1,8 on APS-C roughly equals f/2,8 on full frame, the sensor which is more efficient in capturing light (and for the lowest exposures has the lowest read noise) will have less noise.
Does this mean I won't get the A7? Probably not though I might go for the A7R as it somehow claws back most of that missing half a stop.
A7r has a more modern sensor than the A7 sensor. Nothing odd at all it being a better performer in this context.
This has other implications as well. A little 1/2.3 sensor at ISO100 is operating at a sensitivity equivalent to ISO3500 on a full frame.
I think II do understand what you mean and that would be right (assuming the math of yours is right), but what you say is wrong.
First, ISO is not a sensor metric.
Second, it's about light, not about ISO - if you want to crease the "equivalent image" (i.e. same output image), then the exposure parameters of the cameras would be very different and one might or might not use the ISOs you say.
I highly recomment to read the
articles I pointed to earlier . They are about this very concept.
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Abe R. Ration - amateur photographer, amateur armchair scientist, amaterur camera buff
http://aberration43mm.wordpress.com/