Class 2 and 3:

Class 2 and 3 ceramics (class 4 has officially disappeared) have been typically based on barium titanate (Ba2TiO3), although other materials are coming into use.  They have problems not seen in Class 1 and film capacitors, including very poor temperature drift, high voltage-coefficient-of-capacitance and, high voltage-coefficient-of-dissipation factor (all of these are different for AC and DC), high frequency-coefficient-of-capacitance and a significant aging rate.  The higher K material, > X7R were once considered to be too unreliable to be used in critical applications, but quality is much better today.  These capacitors age because the crystal structure they have when they are made slowly changes to another, lower K form, over time.  The crystal structure can be be changed back by heating for several hours at 125C to 150C.  After cooling the aging starts all over again. 

Applied voltage affects some properties so much that these capacitors are normally characterized at no more than 1 volt AC or DC. Because these affects are all more dependent on applied voltage vs. maximum voltage (volts per thickness in other words) than on the absolute voltage, you can try using the highest voltage part possible, size permitting. The table below shows what happens to capacitance when DC voltage is applied to various ceramics. Capacitance vs. AC voltage, and D. F. vs. both DC and AC voltage go through more-or-less similar contortions. The numbers are approximate at best. They will vary considerably with the temperature, actual rated voltage, and with manufacturer. 

These capacitors don´t have the good high frequency characteristics of Class 1 ceramics, they all show a drop in capacitance and a rise in dissipation factor as they go above 1 MHz.  However, some high-voltage/high current RF capacitors are made of the better Class 2 ceramics, for use in the 1-40 MHz range.  High-K ceramic capacitors can show significant piezoelectric effects; if you tap them they will produce a voltage spike.  This is caused by the barium titanate, the main material in high K ceramics.  The higher the K, the stronger this affect.  This can cause problems with circuitry dealing with low-level signals, making them vulnerable to mechanical shock.  This is another reason to use Class 1 ceramics when designing analog circuitry.  Class 2, and higher, ceramics do have an advantage in size, however.  In fact, high-K ceramics can compete with electrolytic capacitors in many applications where low ESR is more important than bulk capacitance. The graph on the right showes the "typical" temperature stability of the most popular higher class ceramic capacitors, with C0G as a reference. 

The table below shows EIA codes for non-temperature-stable ceramic capacitors and specifies temperature range and capacitance drift tolerance over that range.

Multilayer Ceramic Capacitors:

The construction of ceramic capacitors have changed dramatically over the last few decades.  At one time, the common form was that of a single-layer ceramic disk.  A metal layer was screened and fired on each side, and wires soldered on.  This was fine for making 1000 volt/0.01 uF capacitors, but with the decline of the vacuum tube, demand for such parts has likewise declined.  There is still a place for them, but not inside a cell phone or laptop computer.  Today's electronics requires ever more capacitance in a smaller volume.  The way to get it is with the "multilayer ceramic capacitor" (MLCC).  MLCCs are made by screening many very thin alternating layers of unfired ceramic and silver-palladium alloy electrodes, and firing the result to make a finished capacitor.  The dielectric layers may be >30 microns to <5 microns.  Newer versions of end caps, called "flexible", a layer of silver filled epoxy, improve reliability.
SMD ceramics are made in astonishing numbers, 100 billion/year is one number I have seen (2008).

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Class 1:

Class 1 ceramics include C0G (sometimes called NP0 which is actually from a very similar MIL standard), and temperature compensating capacitors.  They were first based on titanium dioxide, and later on barium neodymium titanate (other materials are also used) but can have low levels of barium titanate, calcium titanate, and other things added to increase the dielectric constant, or to get a desired temperature slope.  CaZrO3 is increasingly being used. There are a lot of innovation out there, especially from the microwave folks.  C0G capacitors have many of the advantages of film capacitors plus very low temperature drift (limited to ±30 ppm/C over -55 to 125C), including very low aging, voltage coefficient, frequency coefficient, leakage, and dissipation factor.  C0G capacitors are used into the GHz range.  Dielectric absorption is typically "low" but not usually specified so it's not very low.  It is reported to be relatively variable from part to part and lot to lot.  Also, manufacturers give conflicting numbers. 

About the only problem with C0G capacitors is size.  Although the dielectric constants of Class 1 ceramics are higher than for plastics films, the voltage breakdown is lower.  At values of about 0.01 µF and below, this is not a great problem because packaging is usually the dominant factor in size, but above 0.01 uF, C0G caps can get rather large.  Except for special multi-chip packages, 0.10 uF is about the largest through-hole you will see and 0.027 uF is about the largest chip SMD.  Multi-chip SMD parts go much higher however.  

Companies that advertise large multi-chip ceramic capacitors include:
 

For reasonable sizes, the cost difference between C0G and lesser ceramic capacitors is small.  For most analog applications, use C0G capacitors whether you think you need them or not.  The behavior of lower-grade ceramic capacitors can be so strange that you never know when some parameter idiosyncrasy will sneak up and bite you. 

Temperature compensating capacitors are available in the range of at least P1000 through N5600 (+1000 ppm/C through -5600 ppm/C).  Tolerance on the temperature slope can vary from 30 ppm/°C for the lower slopes (N30 through N220) up to 1000 ppm/°C for N5600, however.  Above N4200, their properties start to look more like Class 2 than Class 1.  Temperature compensating parts still exist but are becoming rare.  

Both dissipation factor (DF) and dielectric constant (K) go up as the temperature slope of Class 1 ceramics goes more negative, thanks to the additives.  Because of this, manufacturers seeking a specific compromise among DF, temperature drift, and size will sometimes use temperature compensating dielectrics when no temperature compensation is desired.  For example, use a N1000 where C0G would be preferred, but size does not allow.  They may also brew up proprietary dielectrics that don't exactly fit any of the EIA styles to get specific tradeoffs.

Pseudo C0Gs are available, if rare, with rated temperature drifts as low as ±10 ppm/C.

Table 1 shows EIA-RS-198 codes for Class 1 ceramic capacitors and specifies temperature range and capacitance drift tolerance over that range. It's rare to see anything but C0G.   

So, for example, the ever popular C0G has a temperature drift of 0.0±30 ppm/C (+25C to +85C) and P3K has a temperature drift of -1500 ± 250 ppm/C.  Tolerance only applies from +25C to +85C.  From +25C to -55C the "-" figure is 1.25-4 times higher depending on the "Significant Figure".  For example, C0G is ±30 ppm/C from 25C through 85C, but +30/-75 from 25 to -55C.  Don't expect to see all possible combinations.  Who would want a C0N for example?  The EIA has a "preferred" list of some 200 parts, but only about two dozen are commonly available.

Industry commonly uses an "N/P" designation system that is obsolete, but is more intuitive, and more reflective of what is actually in production.  The "N" is used for capacitors with a negative temperature coefficient, and a "P" for those with a positive coefficient.  Manufacturers usually use both in their catalogs, while distributors' catalogs often use only the N/P codes.   Purists righteously disdain the use of NP0 (an older military designation) when referring to C0G (an EIA specification) capacitors, however.

So, for example, an X7R would be usable from -55 through +125C and should change no more than 15% from its 25C value.  One note, however; Class 2 and higher capacitors are affected by voltage and the above drift limits hold only at low applied voltage.  Don't expect to find all possible combinations; X7R, Z5U, X5V,and Y5V are among the most common although other types are also seen. 

Why use them if their electrical properties are inferior to C0G?  Size and cost.  You will rarely see C0G larger than 0.1 uF (at least as a standard product), but Z5U can be found as large as 22 uF, even in SMD.  Poor as it is by C0G standards, a 22 uF Z5U can compete with the equivalent electrolytic in many high-frequency applications with a much lower ESR.  As switching power supplies go ever higher in frequency, large ceramic capacitors look more and more attractive compared to higher ESR electrolytics, and some manufacturers make parts, both SMD and leaded, aimed directly at that market .  On the other hand, advances in film production have allowed large low-voltage film capacitors to compete with ceramics in some applications.  Some manufactures offer films as ceramic substitutes without even mentioning the dielectric, although it is almost certainly polyester.

As a rule of thumb, Class 1 ceramics (like C0G) can be used in many common analog electronics applications.  Exceptions would be sample-and-hold circuits and integrators, where mediocre dielectric absorption is a problem. 

Class 2 ceramics (like X7R) are best suited for coupling (DC blocking) and power supply bypassing.  X7Rs can be used in some linear applications with care where performance and stability are of no great concern.  It would probably be best to use the highest voltage rating practical to minimize leakage, which can vary a lot from part to part.  Class 3 capacitors should be used only for DC blocking and P.S. bypassing, and even then, change in capacitance due to aging, temperature coefficient, and voltage coefficient must be taken into account.  For the best characteristics from Class 2 and 3 ceramics, use the lowest K material that you can, and use them at a low percentage of rated voltage. 

Class 4 are the barrier-layer or reduced-titanate ceramics.  They may not have quite disappeared, but close to it.  These ceramics have low breakdown voltage, high leakage and all-around terrible electrical properties.  High Ks made them useful at one time but modern multilayer ceramics have largely made them obsolete.

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http://www.passiveplus.com/addldoc_uploads/MLCC.Reliability.FailureModes.Rev2014.pdf  Excellent.

https://ec.kemet.com/library  Also excellent.

http://www.presidiocomponents.com

 

http://www.johanson-caps.com/

https://www.maximintegrated.com/en/app-notes/index.mvp/id/5527

http://www.cliftonlaboratories.com/capacitor_voltage_change.htm

http://www.avx.com/

https://sonoscan.com/

https://product.tdk.com/info/en/techlibrary/developing/tfcp/index.html    embedded in circuit